λ
Ratio Atlas

37,536,041

37536041
Deficient Odd Prime

37,536,041 factors as 37536041. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 333 steps.

Prime Factor Structure

Factorization String 37536041
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 37,536,042
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #37535999 ← → #37536047

Radix Representation

Decimal 37536041
Binary 10001111001100000100101001 (26 bits)
Octal 0o217140451
Hexadecimal 0x23CC129

Divisor Catalog (2)

Collatz Trajectory (333 steps to reach 1)

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

37,536,041 112,608,124 56,304,062 28,152,031 84,456,094 42,228,047 126,684,142 63,342,071 190,026,214 95,013,107 285,039,322 142,519,661 427,558,984 213,779,492 106,889,746 53,444,873 160,334,620 80,167,310 40,083,655 120,250,966 60,125,483 180,376,450 90,188,225 270,564,676 135,282,338 67,641,169 202,923,508 101,461,754 50,730,877 152,192,632 76,096,316 38,048,158 19,024,079 57,072,238 28,536,119 85,608,358 42,804,179 128,412,538 64,206,269 192,618,808 96,309,404 48,154,702 24,077,351 72,232,054 36,116,027 108,348,082 54,174,041 162,522,124 81,261,062 40,630,531 121,891,594 60,945,797 182,837,392 91,418,696 45,709,348 22,854,674 11,427,337 34,282,012 17,141,006 8,570,503

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