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Atlas › Integer Profiles › Node 32,445,232

32,445,232

24 × 683 × 2969
Deficient Even Composite

32,445,232 factors as 2^4 × 683 × 2969. Its 20 positive divisors give a proper-divisor sum of 30,530,648, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^4 × 683 × 2969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 62,975,880
Proper Divisor Sum 30,530,648
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #32445223 ← → #32445233

Radix Representation

Decimal 32445232
Binary 1111011110001001100110000 (25 bits)
Octal 0o173611460
Hexadecimal 0x1EF1330

Divisor Catalog (20)

1 2 4 8 16 683 1,366 2,732 2,969 5,464 5,938 10,928 11,876 23,752 47,504 2,027,827 4,055,654 8,111,308 16,222,616 32,445,232

Collatz Trajectory (87 steps to reach 1)

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

32,445,232 16,222,616 8,111,308 4,055,654 2,027,827 6,083,482 3,041,741 9,125,224 4,562,612 2,281,306 1,140,653 3,421,960 1,710,980 855,490 427,745 1,283,236 641,618 320,809 962,428 481,214 240,607 721,822 360,911 1,082,734 541,367 1,624,102 812,051 2,436,154 1,218,077 3,654,232 1,827,116 913,558 456,779 1,370,338 685,169 2,055,508 1,027,754 513,877 1,541,632 770,816 385,408 192,704 96,352 48,176 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722

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