75,721,552

2⁴ × 29 × 163193

75,721,552 factors as 2^4 × 29 × 163193. Its 20 positive divisors give a proper-divisor sum of 76,048,868, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 163193

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 151,770,420

Proper Divisor Sum 76,048,868

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #75721549 ← → #75721627

Radix Representation

Decimal	75721552
Binary	100100000110110101101010000 (27 bits)
Octal	0o440665520
Hexadecimal	0x4836B50

Divisor Catalog (20)

Collatz Trajectory (166 steps to reach 1)

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

75,721,552 37,860,776 18,930,388 9,465,194 4,732,597 14,197,792 7,098,896 3,549,448 1,774,724 887,362 443,681 1,331,044 665,522 332,761 998,284 499,142 249,571 748,714 374,357 1,123,072 561,536 280,768 140,384 70,192 35,096 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62

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