5,311,748

2² × 13 × 102149

5,311,748 factors as 2^2 × 13 × 102149. Its 12 positive divisors give a proper-divisor sum of 4,698,952, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 102149

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,010,700

Proper Divisor Sum 4,698,952

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5311739 ← → #5311759

Radix Representation

Decimal	5311748
Binary	10100010000110100000100 (23 bits)
Octal	0o24206404
Hexadecimal	0x510D04

Divisor Catalog (12)

1 2 4 13 26 52 102,149 204,298 408,596 1,327,937 2,655,874 5,311,748

Collatz Trajectory (95 steps to reach 1)

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

5,311,748 2,655,874 1,327,937 3,983,812 1,991,906 995,953 2,987,860 1,493,930 746,965 2,240,896 1,120,448 560,224 280,112 140,056 70,028 35,014 17,507 52,522 26,261 78,784 39,392 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157

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