45,987

3 × 15329

Starting at 45,987, the Collatz iteration reaches 1 after 176 steps. The first transition is 137962; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 15329

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 61,320

Proper Divisor Sum 15,333

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #45979 ← → #45989

Radix Representation

Decimal	45987
Binary	1011001110100011 (16 bits)
Octal	0o131643
Hexadecimal	0xB3A3

Divisor Catalog (4)

1 3 15,329 45,987

Collatz Trajectory (176 steps to reach 1)

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

45,987 137,962 68,981 206,944 103,472 51,736 25,868 12,934 6,467 19,402 9,701 29,104 14,552 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310 168,155 504,466 252,233 756,700 378,350

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