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Atlas › Integer Profiles › Node 36,967,707

36,967,707

32 × 72 × 17 × 4931
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^2 × 17 × 4931
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 65,783,016
Proper Divisor Sum 28,815,309
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36967703 ← → #36967729

Radix Representation

Decimal 36967707
Binary 10001101000001010100011011 (26 bits)
Octal 0o215012433
Hexadecimal 0x234151B

Divisor Catalog (36)

1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1,071 2,499 4,931 7,497 14,793 34,517 44,379 83,827 103,551 241,619 251,481 310,653 586,789 724,857 754,443 1,760,367 2,174,571 4,107,523 5,281,101 12,322,569 36,967,707

Collatz Trajectory (227 steps to reach 1)

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

36,967,707 110,903,122 55,451,561 166,354,684 83,177,342 41,588,671 124,766,014 62,383,007 187,149,022 93,574,511 280,723,534 140,361,767 421,085,302 210,542,651 631,627,954 315,813,977 947,441,932 473,720,966 236,860,483 710,581,450 355,290,725 1,065,872,176 532,936,088 266,468,044 133,234,022 66,617,011 199,851,034 99,925,517 299,776,552 149,888,276 74,944,138 37,472,069 112,416,208 56,208,104 28,104,052 14,052,026 7,026,013 21,078,040 10,539,020 5,269,510 2,634,755 7,904,266 3,952,133 11,856,400 5,928,200 2,964,100 1,482,050 741,025 2,223,076 1,111,538 555,769 1,667,308 833,654 416,827 1,250,482 625,241 1,875,724 937,862 468,931 1,406,794

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