27,312,160

2⁵ × 5 × 170701

27,312,160 factors as 2^5 × 5 × 170701. Its 24 positive divisors give a proper-divisor sum of 37,213,196, so this integer is abundant. The Collatz stopping time is 242 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 170701

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 64,525,356

Proper Divisor Sum 37,213,196

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #27312151 ← → #27312163

Radix Representation

Decimal	27312160
Binary	1101000001100000000100000 (25 bits)
Octal	0o150140040
Hexadecimal	0x1A0C020

Divisor Catalog (24)

Collatz Trajectory (242 steps to reach 1)

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

27,312,160 13,656,080 6,828,040 3,414,020 1,707,010 853,505 2,560,516 1,280,258 640,129 1,920,388 960,194 480,097 1,440,292 720,146 360,073 1,080,220 540,110 270,055 810,166 405,083 1,215,250 607,625 1,822,876 911,438 455,719 1,367,158 683,579 2,050,738 1,025,369 3,076,108 1,538,054 769,027 2,307,082 1,153,541 3,460,624 1,730,312 865,156 432,578 216,289 648,868 324,434 162,217 486,652 243,326 121,663 364,990 182,495 547,486 273,743 821,230 410,615 1,231,846 615,923 1,847,770 923,885 2,771,656 1,385,828 692,914 346,457 1,039,372

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150

← Previous Integer #27,312,159 Browse Full Index Next Integer #27,312,161 →