80,145,076

2² × 11² × 165589

80,145,076 factors as 2^2 × 11^2 × 165589. Its 18 positive divisors give a proper-divisor sum of 74,019,214, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 165589

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 154,164,290

Proper Divisor Sum 74,019,214

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #80145073 ← → #80145101

Radix Representation

Decimal	80145076
Binary	100110001101110101010110100 (27 bits)
Octal	0o461565264
Hexadecimal	0x4C6EAB4

Divisor Catalog (18)

1 2 4 11 22 44 121 242 484 165,589 331,178 662,356 1,821,479 3,642,958 7,285,916 20,036,269 40,072,538 80,145,076

Collatz Trajectory (166 steps to reach 1)

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

80,145,076 40,072,538 20,036,269 60,108,808 30,054,404 15,027,202 7,513,601 22,540,804 11,270,402 5,635,201 16,905,604 8,452,802 4,226,401 12,679,204 6,339,602 3,169,801 9,509,404 4,754,702 2,377,351 7,132,054 3,566,027 10,698,082 5,349,041 16,047,124 8,023,562 4,011,781 12,035,344 6,017,672 3,008,836 1,504,418 752,209 2,256,628 1,128,314 564,157 1,692,472 846,236 423,118 211,559 634,678 317,339 952,018 476,009 1,428,028 714,014 357,007 1,071,022 535,511 1,606,534 803,267 2,409,802 1,204,901 3,614,704 1,807,352 903,676 451,838 225,919 677,758 338,879 1,016,638 508,319

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