6,496,360

2³ × 5 × 13² × 31²

6,496,360 factors as 2^3 × 5 × 13^2 × 31^2. Its 72 positive divisors give a proper-divisor sum of 9,858,350, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13^2 × 31^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 16,354,710

Proper Divisor Sum 9,858,350

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6496351 ← → #6496361

Radix Representation

Decimal	6496360
Binary	11000110010000001101000 (23 bits)
Octal	0o30620150
Hexadecimal	0x632068

Divisor Catalog (60 of 72)

1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 169 248 260 310 338 403 520 620 676 806 845 961 1,240 1,352 1,612 1,690 1,922 2,015 3,224 3,380 3,844 4,030 4,805 5,239 6,760 7,688 8,060 9,610 10,478 12,493 16,120 19,220 20,956 24,986 26,195 38,440 41,912 49,972 52,390 62,465 99,944 104,780

Collatz Trajectory (165 steps to reach 1)

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

6,496,360 3,248,180 1,624,090 812,045 2,436,136 1,218,068 609,034 304,517 913,552 456,776 228,388 114,194 57,097 171,292 85,646 42,823 128,470 64,235 192,706 96,353 289,060 144,530 72,265 216,796 108,398 54,199 162,598 81,299 243,898 121,949 365,848 182,924 91,462 45,731 137,194 68,597 205,792 102,896 51,448 25,724 12,862 6,431 19,294 9,647 28,942 14,471 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869

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