λ
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Atlas › Integer Profiles › Node 36,950,295

36,950,295

3 × 5 × 31 × 229 × 347
Deficient Odd Composite

36,950,295 factors as 3 × 5 × 31 × 229 × 347. Its 32 positive divisors give a proper-divisor sum of 24,520,425, so this integer is deficient. The Collatz stopping time is 333 steps.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 229 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 61,470,720
Proper Divisor Sum 24,520,425
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #36950293 ← → #36950311

Radix Representation

Decimal 36950295
Binary 10001100111101000100010111 (26 bits)
Octal 0o214750427
Hexadecimal 0x233D117

Divisor Catalog (32)

1 3 5 15 31 93 155 229 347 465 687 1,041 1,145 1,735 3,435 5,205 7,099 10,757 21,297 32,271 35,495 53,785 79,463 106,485 161,355 238,389 397,315 1,191,945 2,463,353 7,390,059 12,316,765 36,950,295

Collatz Trajectory (333 steps to reach 1)

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

36,950,295 110,850,886 55,425,443 166,276,330 83,138,165 249,414,496 124,707,248 62,353,624 31,176,812 15,588,406 7,794,203 23,382,610 11,691,305 35,073,916 17,536,958 8,768,479 26,305,438 13,152,719 39,458,158 19,729,079 59,187,238 29,593,619 88,780,858 44,390,429 133,171,288 66,585,644 33,292,822 16,646,411 49,939,234 24,969,617 74,908,852 37,454,426 18,727,213 56,181,640 28,090,820 14,045,410 7,022,705 21,068,116 10,534,058 5,267,029 15,801,088 7,900,544 3,950,272 1,975,136 987,568 493,784 246,892 123,446 61,723 185,170 92,585 277,756 138,878 69,439 208,318 104,159 312,478 156,239 468,718 234,359

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