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76,268,648

23 × 732 × 1789
Deficient Even Composite

76,268,648 factors as 2^3 × 73^2 × 1789. Its 24 positive divisors give a proper-divisor sum of 68,801,902, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 73^2 × 1789
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 145,070,550
Proper Divisor Sum 68,801,902
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #76268597 ← → #76268659

Radix Representation

Decimal 76268648
Binary 100100010111100010001101000 (27 bits)
Octal 0o442742150
Hexadecimal 0x48BC468

Divisor Catalog (24)

1 2 4 8 73 146 292 584 1,789 3,578 5,329 7,156 10,658 14,312 21,316 42,632 130,597 261,194 522,388 1,044,776 9,533,581 19,067,162 38,134,324 76,268,648

Collatz Trajectory (104 steps to reach 1)

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

76,268,648 38,134,324 19,067,162 9,533,581 28,600,744 14,300,372 7,150,186 3,575,093 10,725,280 5,362,640 2,681,320 1,340,660 670,330 335,165 1,005,496 502,748 251,374 125,687 377,062 188,531 565,594 282,797 848,392 424,196 212,098 106,049 318,148 159,074 79,537 238,612 119,306 59,653 178,960 89,480 44,740 22,370 11,185 33,556 16,778 8,389 25,168 12,584 6,292 3,146 1,573 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248

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