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Atlas › Integer Profiles › Node 36,947,505

36,947,505

3 × 5 × 7 × 31 × 11351
Deficient Odd Composite

36,947,505 factors as 3 × 5 × 7 × 31 × 11351. Its 32 positive divisors give a proper-divisor sum of 32,799,183, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 31 × 11351
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 69,746,688
Proper Divisor Sum 32,799,183
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36947503 ← → #36947513

Radix Representation

Decimal 36947505
Binary 10001100111100011000110001 (26 bits)
Octal 0o214743061
Hexadecimal 0x233C631

Divisor Catalog (32)

1 3 5 7 15 21 31 35 93 105 155 217 465 651 1,085 3,255 11,351 34,053 56,755 79,457 170,265 238,371 351,881 397,285 1,055,643 1,191,855 1,759,405 2,463,167 5,278,215 7,389,501 12,315,835 36,947,505

Collatz Trajectory (214 steps to reach 1)

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

36,947,505 110,842,516 55,421,258 27,710,629 83,131,888 41,565,944 20,782,972 10,391,486 5,195,743 15,587,230 7,793,615 23,380,846 11,690,423 35,071,270 17,535,635 52,606,906 26,303,453 78,910,360 39,455,180 19,727,590 9,863,795 29,591,386 14,795,693 44,387,080 22,193,540 11,096,770 5,548,385 16,645,156 8,322,578 4,161,289 12,483,868 6,241,934 3,120,967 9,362,902 4,681,451 14,044,354 7,022,177 21,066,532 10,533,266 5,266,633 15,799,900 7,899,950 3,949,975 11,849,926 5,924,963 17,774,890 8,887,445 26,662,336 13,331,168 6,665,584 3,332,792 1,666,396 833,198 416,599 1,249,798 624,899 1,874,698 937,349 2,812,048 1,406,024

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