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Atlas › Integer Profiles › Node 37,284,784

37,284,784

24 × 43 × 54193
Deficient Even Composite

37,284,784 factors as 2^4 × 43 × 54193. Its 20 positive divisors give a proper-divisor sum of 36,635,832, so this integer is deficient. The Collatz stopping time is 271 steps.

Prime Factor Structure

Factorization String 2^4 × 43 × 54193
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 73,920,616
Proper Divisor Sum 36,635,832
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #37284773 ← → #37284799

Radix Representation

Decimal 37284784
Binary 10001110001110101110110000 (26 bits)
Octal 0o216165660
Hexadecimal 0x238EBB0

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 54,193 108,386 216,772 433,544 867,088 2,330,299 4,660,598 9,321,196 18,642,392 37,284,784

Collatz Trajectory (271 steps to reach 1)

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

37,284,784 18,642,392 9,321,196 4,660,598 2,330,299 6,990,898 3,495,449 10,486,348 5,243,174 2,621,587 7,864,762 3,932,381 11,797,144 5,898,572 2,949,286 1,474,643 4,423,930 2,211,965 6,635,896 3,317,948 1,658,974 829,487 2,488,462 1,244,231 3,732,694 1,866,347 5,599,042 2,799,521 8,398,564 4,199,282 2,099,641 6,298,924 3,149,462 1,574,731 4,724,194 2,362,097 7,086,292 3,543,146 1,771,573 5,314,720 2,657,360 1,328,680 664,340 332,170 166,085 498,256 249,128 124,564 62,282 31,141 93,424 46,712 23,356 11,678 5,839 17,518 8,759 26,278 13,139 39,418

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