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Atlas › Integer Profiles › Node 37,339,792

37,339,792

24 × 7 × 73 × 4567
Abundant Even Composite

37,339,792 factors as 2^4 × 7 × 73 × 4567. Its 40 positive divisors give a proper-divisor sum of 46,492,144, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 73 × 4567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 83,831,936
Proper Divisor Sum 46,492,144
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #37339777 ← → #37339793

Radix Representation

Decimal 37339792
Binary 10001110011100001010010000 (26 bits)
Octal 0o216341220
Hexadecimal 0x239C290

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1,022 1,168 2,044 4,088 4,567 8,176 9,134 18,268 31,969 36,536 63,938 73,072 127,876 255,752 333,391 511,504 666,782 1,333,564 2,333,737 2,667,128 4,667,474 5,334,256 9,334,948 18,669,896 37,339,792

Collatz Trajectory (196 steps to reach 1)

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

37,339,792 18,669,896 9,334,948 4,667,474 2,333,737 7,001,212 3,500,606 1,750,303 5,250,910 2,625,455 7,876,366 3,938,183 11,814,550 5,907,275 17,721,826 8,860,913 26,582,740 13,291,370 6,645,685 19,937,056 9,968,528 4,984,264 2,492,132 1,246,066 623,033 1,869,100 934,550 467,275 1,401,826 700,913 2,102,740 1,051,370 525,685 1,577,056 788,528 394,264 197,132 98,566 49,283 147,850 73,925 221,776 110,888 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581

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