27,200,072

2³ × 379 × 8971

27,200,072 factors as 2^3 × 379 × 8971. Its 16 positive divisors give a proper-divisor sum of 23,940,328, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^3 × 379 × 8971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 51,140,400

Proper Divisor Sum 23,940,328

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #27200071 ← → #27200081

Radix Representation

Decimal	27200072
Binary	1100111110000101001001000 (25 bits)
Octal	0o147605110
Hexadecimal	0x19F0A48

Divisor Catalog (16)

1 2 4 8 379 758 1,516 3,032 8,971 17,942 35,884 71,768 3,400,009 6,800,018 13,600,036 27,200,072

Collatz Trajectory (211 steps to reach 1)

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

27,200,072 13,600,036 6,800,018 3,400,009 10,200,028 5,100,014 2,550,007 7,650,022 3,825,011 11,475,034 5,737,517 17,212,552 8,606,276 4,303,138 2,151,569 6,454,708 3,227,354 1,613,677 4,841,032 2,420,516 1,210,258 605,129 1,815,388 907,694 453,847 1,361,542 680,771 2,042,314 1,021,157 3,063,472 1,531,736 765,868 382,934 191,467 574,402 287,201 861,604 430,802 215,401 646,204 323,102 161,551 484,654 242,327 726,982 363,491 1,090,474 545,237 1,635,712 817,856 408,928 204,464 102,232 51,116 25,558 12,779 38,338 19,169 57,508 28,754

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