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Atlas › Integer Profiles › Node 36,914,883

36,914,883

3 × 29 × 41 × 79 × 131
Deficient Odd Composite

36,914,883 factors as 3 × 29 × 41 × 79 × 131. Its 32 positive divisors give a proper-divisor sum of 16,307,517, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 29 × 41 × 79 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 53,222,400
Proper Divisor Sum 16,307,517
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #36914873 ← → #36914887

Radix Representation

Decimal 36914883
Binary 10001100110100011011000011 (26 bits)
Octal 0o214643303
Hexadecimal 0x23346C3

Divisor Catalog (32)

1 3 29 41 79 87 123 131 237 393 1,189 2,291 3,239 3,567 3,799 5,371 6,873 9,717 10,349 11,397 16,113 31,047 93,931 155,759 281,793 300,121 424,309 467,277 900,363 1,272,927 12,304,961 36,914,883

Collatz Trajectory (214 steps to reach 1)

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

36,914,883 110,744,650 55,372,325 166,116,976 83,058,488 41,529,244 20,764,622 10,382,311 31,146,934 15,573,467 46,720,402 23,360,201 70,080,604 35,040,302 17,520,151 52,560,454 26,280,227 78,840,682 39,420,341 118,261,024 59,130,512 29,565,256 14,782,628 7,391,314 3,695,657 11,086,972 5,543,486 2,771,743 8,315,230 4,157,615 12,472,846 6,236,423 18,709,270 9,354,635 28,063,906 14,031,953 42,095,860 21,047,930 10,523,965 31,571,896 15,785,948 7,892,974 3,946,487 11,839,462 5,919,731 17,759,194 8,879,597 26,638,792 13,319,396 6,659,698 3,329,849 9,989,548 4,994,774 2,497,387 7,492,162 3,746,081 11,238,244 5,619,122 2,809,561 8,428,684

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