λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,455,960

32,455,960

23 × 5 × 311 × 2609
Abundant Even Composite

32,455,960 factors as 2^3 × 5 × 311 × 2609. Its 32 positive divisors give a proper-divisor sum of 40,832,840, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 311 × 2609
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 73,288,800
Proper Divisor Sum 40,832,840
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #32455957 ← → #32455979

Radix Representation

Decimal 32455960
Binary 1111011110011110100011000 (25 bits)
Octal 0o173636430
Hexadecimal 0x1EF3D18

Divisor Catalog (32)

1 2 4 5 8 10 20 40 311 622 1,244 1,555 2,488 2,609 3,110 5,218 6,220 10,436 12,440 13,045 20,872 26,090 52,180 104,360 811,399 1,622,798 3,245,596 4,056,995 6,491,192 8,113,990 16,227,980 32,455,960

Collatz Trajectory (139 steps to reach 1)

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

32,455,960 16,227,980 8,113,990 4,056,995 12,170,986 6,085,493 18,256,480 9,128,240 4,564,120 2,282,060 1,141,030 570,515 1,711,546 855,773 2,567,320 1,283,660 641,830 320,915 962,746 481,373 1,444,120 722,060 361,030 180,515 541,546 270,773 812,320 406,160 203,080 101,540 50,770 25,385 76,156 38,078 19,039 57,118 28,559 85,678 42,839 128,518 64,259 192,778 96,389 289,168 144,584 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719

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 #32,455,959 Browse Full Index Next Integer #32,455,961 →