76,762,017

3² × 23 × 97 × 3823

76,762,017 factors as 3^2 × 23 × 97 × 3823. Its 24 positive divisors give a proper-divisor sum of 40,160,607, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 97 × 3823

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 116,922,624

Proper Divisor Sum 40,160,607

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #76762001 ← → #76762019

Radix Representation

Decimal	76762017
Binary	100100100110100101110100001 (27 bits)
Octal	0o444645641
Hexadecimal	0x4934BA1

Divisor Catalog (24)

Collatz Trajectory (228 steps to reach 1)

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

76,762,017 230,286,052 115,143,026 57,571,513 172,714,540 86,357,270 43,178,635 129,535,906 64,767,953 194,303,860 97,151,930 48,575,965 145,727,896 72,863,948 36,431,974 18,215,987 54,647,962 27,323,981 81,971,944 40,985,972 20,492,986 10,246,493 30,739,480 15,369,740 7,684,870 3,842,435 11,527,306 5,763,653 17,290,960 8,645,480 4,322,740 2,161,370 1,080,685 3,242,056 1,621,028 810,514 405,257 1,215,772 607,886 303,943 911,830 455,915 1,367,746 683,873 2,051,620 1,025,810 512,905 1,538,716 769,358 384,679 1,154,038 577,019 1,731,058 865,529 2,596,588 1,298,294 649,147 1,947,442 973,721 2,921,164

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #76,762,016 Browse Full Index Next Integer #76,762,018 →