λ
Prime Ledger

5,736,495

3 × 5 × 89 × 4297
Deficient Odd Composite

5,736,495 has the prime decomposition 3 × 5 × 89 × 4297. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 89 × 4297
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,283,680
Proper Divisor Sum 3,547,185
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5736487 ← → #5736503

Radix Representation

Decimal 5736495
Binary 10101111000100000101111 (23 bits)
Octal 0o25704057
Hexadecimal 0x57882F

Divisor Catalog (16)

1 3 5 15 89 267 445 1,335 4,297 12,891 21,485 64,455 382,433 1,147,299 1,912,165 5,736,495

Collatz Trajectory (121 steps to reach 1)

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

5,736,495 17,209,486 8,604,743 25,814,230 12,907,115 38,721,346 19,360,673 58,082,020 29,041,010 14,520,505 43,561,516 21,780,758 10,890,379 32,671,138 16,335,569 49,006,708 24,503,354 12,251,677 36,755,032 18,377,516 9,188,758 4,594,379 13,783,138 6,891,569 20,674,708 10,337,354 5,168,677 15,506,032 7,753,016 3,876,508 1,938,254 969,127 2,907,382 1,453,691 4,361,074 2,180,537 6,541,612 3,270,806 1,635,403 4,906,210 2,453,105 7,359,316 3,679,658 1,839,829 5,519,488 2,759,744 1,379,872 689,936 344,968 172,484 86,242 43,121 129,364 64,682 32,341 97,024 48,512 24,256 12,128 6,064

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