27,097,456

2⁴ × 17 × 99623

27,097,456 factors as 2^4 × 17 × 99623. Its 20 positive divisors give a proper-divisor sum of 28,492,736, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 99623

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 55,590,192

Proper Divisor Sum 28,492,736

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #27097453 ← → #27097459

Radix Representation

Decimal	27097456
Binary	1100111010111100101110000 (25 bits)
Octal	0o147274560
Hexadecimal	0x19D7970

Divisor Catalog (20)

Collatz Trajectory (193 steps to reach 1)

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

27,097,456 13,548,728 6,774,364 3,387,182 1,693,591 5,080,774 2,540,387 7,621,162 3,810,581 11,431,744 5,715,872 2,857,936 1,428,968 714,484 357,242 178,621 535,864 267,932 133,966 66,983 200,950 100,475 301,426 150,713 452,140 226,070 113,035 339,106 169,553 508,660 254,330 127,165 381,496 190,748 95,374 47,687 143,062 71,531 214,594 107,297 321,892 160,946 80,473 241,420 120,710 60,355 181,066 90,533 271,600 135,800 67,900 33,950 16,975 50,926 25,463 76,390 38,195 114,586 57,293 171,880

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