5,767,392

2⁵ × 3 × 60077

For 5,767,392, the 24 positive divisors have a total of 15,139,656. Removing 5,767,392 leaves 9,372,264, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3 × 60077

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,139,656

Proper Divisor Sum 9,372,264

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5767381 ← → #5767397

Radix Representation

Decimal	5767392
Binary	10110000000000011100000 (23 bits)
Octal	0o26000340
Hexadecimal	0x5800E0

Divisor Catalog (24)

1 2 3 4 6 8 12 16 24 32 48 96 60,077 120,154 180,231 240,308 360,462 480,616 720,924 961,232 1,441,848 1,922,464 2,883,696 5,767,392

Collatz Trajectory (121 steps to reach 1)

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

5,767,392 2,883,696 1,441,848 720,924 360,462 180,231 540,694 270,347 811,042 405,521 1,216,564 608,282 304,141 912,424 456,212 228,106 114,053 342,160 171,080 85,540 42,770 21,385 64,156 32,078 16,039 48,118 24,059 72,178 36,089 108,268 54,134 27,067 81,202 40,601 121,804 60,902 30,451 91,354 45,677 137,032 68,516 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587

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