λ
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6,314,728

23 × 72 × 89 × 181
Abundant Even Composite

6,314,728 factors as 2^3 × 7^2 × 89 × 181. Its 48 positive divisors give a proper-divisor sum of 7,690,172, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 89 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,004,900
Proper Divisor Sum 7,690,172
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6314717 ← → #6314761

Radix Representation

Decimal 6314728
Binary 11000000101101011101000 (23 bits)
Octal 0o30055350
Hexadecimal 0x605AE8

Divisor Catalog (48)

1 2 4 7 8 14 28 49 56 89 98 178 181 196 356 362 392 623 712 724 1,246 1,267 1,448 2,492 2,534 4,361 4,984 5,068 8,722 8,869 10,136 16,109 17,444 17,738 32,218 34,888 35,476 64,436 70,952 112,763 128,872 225,526 451,052 789,341 902,104 1,578,682 3,157,364 6,314,728

Collatz Trajectory (165 steps to reach 1)

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

6,314,728 3,157,364 1,578,682 789,341 2,368,024 1,184,012 592,006 296,003 888,010 444,005 1,332,016 666,008 333,004 166,502 83,251 249,754 124,877 374,632 187,316 93,658 46,829 140,488 70,244 35,122 17,561 52,684 26,342 13,171 39,514 19,757 59,272 29,636 14,818 7,409 22,228 11,114 5,557 16,672 8,336 4,168 2,084 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31

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