77,005,240

2³ × 5 × 13 × 17 × 31 × 281

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 17 × 31 × 281

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 204,664,320

Proper Divisor Sum 127,659,080

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #77005231 ← → #77005249

Radix Representation

Decimal	77005240
Binary	100100101110000000110111000 (27 bits)
Octal	0o445600670
Hexadecimal	0x49701B8

Divisor Catalog (60 of 128)

1 2 4 5 8 10 13 17 20 26 31 34 40 52 62 65 68 85 104 124 130 136 155 170 221 248 260 281 310 340 403 442 520 527 562 620 680 806 884 1,054 1,105 1,124 1,240 1,405 1,612 1,768 2,015 2,108 2,210 2,248 2,635 2,810 3,224 3,653 4,030 4,216 4,420 4,777 5,270 5,620

Collatz Trajectory (179 steps to reach 1)

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

77,005,240 38,502,620 19,251,310 9,625,655 28,876,966 14,438,483 43,315,450 21,657,725 64,973,176 32,486,588 16,243,294 8,121,647 24,364,942 12,182,471 36,547,414 18,273,707 54,821,122 27,410,561 82,231,684 41,115,842 20,557,921 61,673,764 30,836,882 15,418,441 46,255,324 23,127,662 11,563,831 34,691,494 17,345,747 52,037,242 26,018,621 78,055,864 39,027,932 19,513,966 9,756,983 29,270,950 14,635,475 43,906,426 21,953,213 65,859,640 32,929,820 16,464,910 8,232,455 24,697,366 12,348,683 37,046,050 18,523,025 55,569,076 27,784,538 13,892,269 41,676,808 20,838,404 10,419,202 5,209,601 15,628,804 7,814,402 3,907,201 11,721,604 5,860,802 2,930,401

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