37,885

5 × 7577

Starting at 37,885, the Collatz iteration reaches 1 after 155 steps. The first transition is 113656; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 7577

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 45,468

Proper Divisor Sum 7,583

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #37879 ← → #37889

Radix Representation

Decimal	37885
Binary	1001001111111101 (16 bits)
Octal	0o111775
Hexadecimal	0x93FD

Divisor Catalog (4)

1 5 7,577 37,885

Collatz Trajectory (155 steps to reach 1)

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

37,885 113,656 56,828 28,414 14,207 42,622 21,311 63,934 31,967 95,902 47,951 143,854 71,927 215,782 107,891 323,674 161,837 485,512 242,756 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456

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