111,976

2³ × 13997

Starting at 111,976, the Collatz iteration reaches 1 after 136 steps. The first transition is 55988; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13997

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 209,970

Proper Divisor Sum 97,994

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #111973 ← → #111977

Radix Representation

Decimal	111976
Binary	11011010101101000 (17 bits)
Octal	0o332550
Hexadecimal	0x1B568

Divisor Catalog (8)

1 2 4 8 13,997 27,994 55,988 111,976

Collatz Trajectory (136 steps to reach 1)

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

111,976 55,988 27,994 13,997 41,992 20,996 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574

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