λ
Ratio Atlas

36,948,767

36948767
Deficient Odd Prime

36,948,767 factors as 36948767. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 36948767
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 36,948,768
Proper Divisor Sum 1
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #36948761 ← → #36948811

Radix Representation

Decimal 36948767
Binary 10001100111100101100011111 (26 bits)
Octal 0o214745437
Hexadecimal 0x233CB1F

Divisor Catalog (2)

Collatz Trajectory (165 steps to reach 1)

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

36,948,767 110,846,302 55,423,151 166,269,454 83,134,727 249,404,182 124,702,091 374,106,274 187,053,137 561,159,412 280,579,706 140,289,853 420,869,560 210,434,780 105,217,390 52,608,695 157,826,086 78,913,043 236,739,130 118,369,565 355,108,696 177,554,348 88,777,174 44,388,587 133,165,762 66,582,881 199,748,644 99,874,322 49,937,161 149,811,484 74,905,742 37,452,871 112,358,614 56,179,307 168,537,922 84,268,961 252,806,884 126,403,442 63,201,721 189,605,164 94,802,582 47,401,291 142,203,874 71,101,937 213,305,812 106,652,906 53,326,453 159,979,360 79,989,680 39,994,840 19,997,420 9,998,710 4,999,355 14,998,066 7,499,033 22,497,100 11,248,550 5,624,275 16,872,826 8,436,413

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