77,286,550

2 × 5² × 11 × 140521

77,286,550 factors as 2 × 5^2 × 11 × 140521. Its 24 positive divisors give a proper-divisor sum of 79,536,002, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 140521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 156,822,552

Proper Divisor Sum 79,536,002

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #77286541 ← → #77286551

Radix Representation

Decimal	77286550
Binary	100100110110100110010010110 (27 bits)
Octal	0o446646226
Hexadecimal	0x49B4C96

Divisor Catalog (24)

Collatz Trajectory (122 steps to reach 1)

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

77,286,550 38,643,275 115,929,826 57,964,913 173,894,740 86,947,370 43,473,685 130,421,056 65,210,528 32,605,264 16,302,632 8,151,316 4,075,658 2,037,829 6,113,488 3,056,744 1,528,372 764,186 382,093 1,146,280 573,140 286,570 143,285 429,856 214,928 107,464 53,732 26,866 13,433 40,300 20,150 10,075 30,226 15,113 45,340 22,670 11,335 34,006 17,003 51,010 25,505 76,516 38,258 19,129 57,388 28,694 14,347 43,042 21,521 64,564 32,282 16,141 48,424 24,212 12,106 6,053 18,160 9,080 4,540 2,270

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