λ
Ratio Atlas
Atlas › Integer Profiles › Node 59,080,252

59,080,252

22 × 7 × 11 × 433 × 443
Abundant Even Composite

59,080,252 factors as 2^2 × 7 × 11 × 433 × 443. Its 48 positive divisors give a proper-divisor sum of 70,411,460, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 433 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 129,491,712
Proper Divisor Sum 70,411,460
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #59080249 ← → #59080267

Radix Representation

Decimal 59080252
Binary 11100001010111111000111100 (26 bits)
Octal 0o341277074
Hexadecimal 0x3857E3C

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 77 154 308 433 443 866 886 1,732 1,772 3,031 3,101 4,763 4,873 6,062 6,202 9,526 9,746 12,124 12,404 19,052 19,492 33,341 34,111 66,682 68,222 133,364 136,444 191,819 383,638 767,276 1,342,733 2,110,009 2,685,466 4,220,018 5,370,932 8,440,036 14,770,063 29,540,126 59,080,252

Collatz Trajectory (168 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

59,080,252 29,540,126 14,770,063 44,310,190 22,155,095 66,465,286 33,232,643 99,697,930 49,848,965 149,546,896 74,773,448 37,386,724 18,693,362 9,346,681 28,040,044 14,020,022 7,010,011 21,030,034 10,515,017 31,545,052 15,772,526 7,886,263 23,658,790 11,829,395 35,488,186 17,744,093 53,232,280 26,616,140 13,308,070 6,654,035 19,962,106 9,981,053 29,943,160 14,971,580 7,485,790 3,742,895 11,228,686 5,614,343 16,843,030 8,421,515 25,264,546 12,632,273 37,896,820 18,948,410 9,474,205 28,422,616 14,211,308 7,105,654 3,552,827 10,658,482 5,329,241 15,987,724 7,993,862 3,996,931 11,990,794 5,995,397 17,986,192 8,993,096 4,496,548 2,248,274

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #59,080,251 Browse Full Index Next Integer #59,080,253 →