λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,632,196

32,632,196

22 × 19 × 139 × 3089
Deficient Even Composite

32,632,196 factors as 2^2 × 19 × 139 × 3089. Its 24 positive divisors give a proper-divisor sum of 27,931,804, so this integer is deficient. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 139 × 3089
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 60,564,000
Proper Divisor Sum 27,931,804
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #32632169 ← → #32632199

Radix Representation

Decimal 32632196
Binary 1111100011110110110000100 (25 bits)
Octal 0o174366604
Hexadecimal 0x1F1ED84

Divisor Catalog (24)

1 2 4 19 38 76 139 278 556 2,641 3,089 5,282 6,178 10,564 12,356 58,691 117,382 234,764 429,371 858,742 1,717,484 8,158,049 16,316,098 32,632,196

Collatz Trajectory (201 steps to reach 1)

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

32,632,196 16,316,098 8,158,049 24,474,148 12,237,074 6,118,537 18,355,612 9,177,806 4,588,903 13,766,710 6,883,355 20,650,066 10,325,033 30,975,100 15,487,550 7,743,775 23,231,326 11,615,663 34,846,990 17,423,495 52,270,486 26,135,243 78,405,730 39,202,865 117,608,596 58,804,298 29,402,149 88,206,448 44,103,224 22,051,612 11,025,806 5,512,903 16,538,710 8,269,355 24,808,066 12,404,033 37,212,100 18,606,050 9,303,025 27,909,076 13,954,538 6,977,269 20,931,808 10,465,904 5,232,952 2,616,476 1,308,238 654,119 1,962,358 981,179 2,943,538 1,471,769 4,415,308 2,207,654 1,103,827 3,311,482 1,655,741 4,967,224 2,483,612 1,241,806

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #32,632,195 Browse Full Index Next Integer #32,632,197 →