27,407,792

2⁴ × 1712987

27,407,792 factors as 2^4 × 1712987. Its 10 positive divisors give a proper-divisor sum of 25,694,836, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^4 × 1712987

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 53,102,628

Proper Divisor Sum 25,694,836

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #27407771 ← → #27407819

Radix Representation

Decimal	27407792
Binary	1101000100011010110110000 (25 bits)
Octal	0o150432660
Hexadecimal	0x1A235B0

Divisor Catalog (10)

1 2 4 8 16 1,712,987 3,425,974 6,851,948 13,703,896 27,407,792

Collatz Trajectory (162 steps to reach 1)

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

27,407,792 13,703,896 6,851,948 3,425,974 1,712,987 5,138,962 2,569,481 7,708,444 3,854,222 1,927,111 5,781,334 2,890,667 8,672,002 4,336,001 13,008,004 6,504,002 3,252,001 9,756,004 4,878,002 2,439,001 7,317,004 3,658,502 1,829,251 5,487,754 2,743,877 8,231,632 4,115,816 2,057,908 1,028,954 514,477 1,543,432 771,716 385,858 192,929 578,788 289,394 144,697 434,092 217,046 108,523 325,570 162,785 488,356 244,178 122,089 366,268 183,134 91,567 274,702 137,351 412,054 206,027 618,082 309,041 927,124 463,562 231,781 695,344 347,672 173,836

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