6,781,592

2³ × 29 × 29231

6,781,592 factors as 2^3 × 29 × 29231. Its 16 positive divisors give a proper-divisor sum of 6,372,808, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 29231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,154,400

Proper Divisor Sum 6,372,808

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6781559 ← → #6781603

Radix Representation

Decimal	6781592
Binary	11001110111101010011000 (23 bits)
Octal	0o31675230
Hexadecimal	0x677A98

Divisor Catalog (16)

1 2 4 8 29 58 116 232 29,231 58,462 116,924 233,848 847,699 1,695,398 3,390,796 6,781,592

Collatz Trajectory (134 steps to reach 1)

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

6,781,592 3,390,796 1,695,398 847,699 2,543,098 1,271,549 3,814,648 1,907,324 953,662 476,831 1,430,494 715,247 2,145,742 1,072,871 3,218,614 1,609,307 4,827,922 2,413,961 7,241,884 3,620,942 1,810,471 5,431,414 2,715,707 8,147,122 4,073,561 12,220,684 6,110,342 3,055,171 9,165,514 4,582,757 13,748,272 6,874,136 3,437,068 1,718,534 859,267 2,577,802 1,288,901 3,866,704 1,933,352 966,676 483,338 241,669 725,008 362,504 181,252 90,626 45,313 135,940 67,970 33,985 101,956 50,978 25,489 76,468 38,234 19,117 57,352 28,676 14,338 7,169

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