16,752,136

2³ × 271 × 7727

16,752,136 factors as 2^3 × 271 × 7727. Its 16 positive divisors give a proper-divisor sum of 14,778,104, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^3 × 271 × 7727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 31,530,240

Proper Divisor Sum 14,778,104

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #16752133 ← → #16752173

Radix Representation

Decimal	16752136
Binary	111111111001111000001000 (24 bits)
Octal	0o77717010
Hexadecimal	0xFF9E08

Divisor Catalog (16)

1 2 4 8 271 542 1,084 2,168 7,727 15,454 30,908 61,816 2,094,017 4,188,034 8,376,068 16,752,136

Collatz Trajectory (138 steps to reach 1)

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

16,752,136 8,376,068 4,188,034 2,094,017 6,282,052 3,141,026 1,570,513 4,711,540 2,355,770 1,177,885 3,533,656 1,766,828 883,414 441,707 1,325,122 662,561 1,987,684 993,842 496,921 1,490,764 745,382 372,691 1,118,074 559,037 1,677,112 838,556 419,278 209,639 628,918 314,459 943,378 471,689 1,415,068 707,534 353,767 1,061,302 530,651 1,591,954 795,977 2,387,932 1,193,966 596,983 1,790,950 895,475 2,686,426 1,343,213 4,029,640 2,014,820 1,007,410 503,705 1,511,116 755,558 377,779 1,133,338 566,669 1,700,008 850,004 425,002 212,501 637,504

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