λ
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Atlas › Integer Profiles › Node 59,167,654

59,167,654

2 × 7 × 13 × 31 × 10487
Deficient Even Composite

59,167,654 factors as 2 × 7 × 13 × 31 × 10487. Its 32 positive divisors give a proper-divisor sum of 53,599,322, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 31 × 10487
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 112,766,976
Proper Divisor Sum 53,599,322
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #59167651 ← → #59167657

Radix Representation

Decimal 59167654
Binary 11100001101101001110100110 (26 bits)
Octal 0o341551646
Hexadecimal 0x386D3A6

Divisor Catalog (32)

1 2 7 13 14 26 31 62 91 182 217 403 434 806 2,821 5,642 10,487 20,974 73,409 136,331 146,818 272,662 325,097 650,194 954,317 1,908,634 2,275,679 4,226,261 4,551,358 8,452,522 29,583,827 59,167,654

Collatz Trajectory (163 steps to reach 1)

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

59,167,654 29,583,827 88,751,482 44,375,741 133,127,224 66,563,612 33,281,806 16,640,903 49,922,710 24,961,355 74,884,066 37,442,033 112,326,100 56,163,050 28,081,525 84,244,576 42,122,288 21,061,144 10,530,572 5,265,286 2,632,643 7,897,930 3,948,965 11,846,896 5,923,448 2,961,724 1,480,862 740,431 2,221,294 1,110,647 3,331,942 1,665,971 4,997,914 2,498,957 7,496,872 3,748,436 1,874,218 937,109 2,811,328 1,405,664 702,832 351,416 175,708 87,854 43,927 131,782 65,891 197,674 98,837 296,512 148,256 74,128 37,064 18,532 9,266 4,633 13,900 6,950 3,475 10,426

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