27,083,788

2² × 17 × 23 × 17317

27,083,788 factors as 2^2 × 17 × 23 × 17317. Its 24 positive divisors give a proper-divisor sum of 25,285,844, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 23 × 17317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 52,369,632

Proper Divisor Sum 25,285,844

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #27083783 ← → #27083789

Radix Representation

Decimal	27083788
Binary	1100111010100010000001100 (25 bits)
Octal	0o147242014
Hexadecimal	0x19D440C

Divisor Catalog (24)

Collatz Trajectory (162 steps to reach 1)

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

27,083,788 13,541,894 6,770,947 20,312,842 10,156,421 30,469,264 15,234,632 7,617,316 3,808,658 1,904,329 5,712,988 2,856,494 1,428,247 4,284,742 2,142,371 6,427,114 3,213,557 9,640,672 4,820,336 2,410,168 1,205,084 602,542 301,271 903,814 451,907 1,355,722 677,861 2,033,584 1,016,792 508,396 254,198 127,099 381,298 190,649 571,948 285,974 142,987 428,962 214,481 643,444 321,722 160,861 482,584 241,292 120,646 60,323 180,970 90,485 271,456 135,728 67,864 33,932 16,966 8,483 25,450 12,725 38,176 19,088 9,544 4,772

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