λ
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Atlas › Integer Profiles › Node 59,177,932

59,177,932

22 × 11 × 19 × 71 × 997
Abundant Even Composite

59,177,932 factors as 2^2 × 11 × 19 × 71 × 997. Its 48 positive divisors give a proper-divisor sum of 61,540,148, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 19 × 71 × 997
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 120,718,080
Proper Divisor Sum 61,540,148
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #59177927 ← → #59177947

Radix Representation

Decimal 59177932
Binary 11100001101111101111001100 (26 bits)
Octal 0o341575714
Hexadecimal 0x386FBCC

Divisor Catalog (48)

1 2 4 11 19 22 38 44 71 76 142 209 284 418 781 836 997 1,349 1,562 1,994 2,698 3,124 3,988 5,396 10,967 14,839 18,943 21,934 29,678 37,886 43,868 59,356 70,787 75,772 141,574 208,373 283,148 416,746 778,657 833,492 1,344,953 1,557,314 2,689,906 3,114,628 5,379,812 14,794,483 29,588,966 59,177,932

Collatz Trajectory (145 steps to reach 1)

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

59,177,932 29,588,966 14,794,483 44,383,450 22,191,725 66,575,176 33,287,588 16,643,794 8,321,897 24,965,692 12,482,846 6,241,423 18,724,270 9,362,135 28,086,406 14,043,203 42,129,610 21,064,805 63,194,416 31,597,208 15,798,604 7,899,302 3,949,651 11,848,954 5,924,477 17,773,432 8,886,716 4,443,358 2,221,679 6,665,038 3,332,519 9,997,558 4,998,779 14,996,338 7,498,169 22,494,508 11,247,254 5,623,627 16,870,882 8,435,441 25,306,324 12,653,162 6,326,581 18,979,744 9,489,872 4,744,936 2,372,468 1,186,234 593,117 1,779,352 889,676 444,838 222,419 667,258 333,629 1,000,888 500,444 250,222 125,111 375,334

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