27,763,672

2³ × 29 × 119671

27,763,672 factors as 2^3 × 29 × 119671. Its 16 positive divisors give a proper-divisor sum of 26,088,728, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 119671

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 53,852,400

Proper Divisor Sum 26,088,728

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #27763663 ← → #27763711

Radix Representation

Decimal	27763672
Binary	1101001111010001111011000 (25 bits)
Octal	0o151721730
Hexadecimal	0x1A7A3D8

Divisor Catalog (16)

1 2 4 8 29 58 116 232 119,671 239,342 478,684 957,368 3,470,459 6,940,918 13,881,836 27,763,672

Collatz Trajectory (193 steps to reach 1)

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

27,763,672 13,881,836 6,940,918 3,470,459 10,411,378 5,205,689 15,617,068 7,808,534 3,904,267 11,712,802 5,856,401 17,569,204 8,784,602 4,392,301 13,176,904 6,588,452 3,294,226 1,647,113 4,941,340 2,470,670 1,235,335 3,706,006 1,853,003 5,559,010 2,779,505 8,338,516 4,169,258 2,084,629 6,253,888 3,126,944 1,563,472 781,736 390,868 195,434 97,717 293,152 146,576 73,288 36,644 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894

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