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Atlas › Integer Profiles › Node 37,472,416

37,472,416

25 × 37 × 31649
Abundant Even Composite

37,472,416 factors as 2^5 × 37 × 31649. Its 24 positive divisors give a proper-divisor sum of 38,297,684, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^5 × 37 × 31649
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 75,770,100
Proper Divisor Sum 38,297,684
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #37472411 ← → #37472417

Radix Representation

Decimal 37472416
Binary 10001110111100100010100000 (26 bits)
Octal 0o216744240
Hexadecimal 0x23BC8A0

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 296 592 1,184 31,649 63,298 126,596 253,192 506,384 1,012,768 1,171,013 2,342,026 4,684,052 9,368,104 18,736,208 37,472,416

Collatz Trajectory (134 steps to reach 1)

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

37,472,416 18,736,208 9,368,104 4,684,052 2,342,026 1,171,013 3,513,040 1,756,520 878,260 439,130 219,565 658,696 329,348 164,674 82,337 247,012 123,506 61,753 185,260 92,630 46,315 138,946 69,473 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614

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