1,001,958

2 × 3 × 41 × 4073

Starting at 1,001,958, the Collatz iteration reaches 1 after 165 steps. The first transition is 500979; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 4073

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,053,296

Proper Divisor Sum 1,051,338

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1001953 ← → #1001977

Radix Representation

Decimal	1001958
Binary	11110100100111100110 (20 bits)
Octal	0o3644746
Hexadecimal	0xF49E6

Divisor Catalog (16)

1 2 3 6 41 82 123 246 4,073 8,146 12,219 24,438 166,993 333,986 500,979 1,001,958

Collatz Trajectory (165 steps to reach 1)

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

1,001,958 500,979 1,502,938 751,469 2,254,408 1,127,204 563,602 281,801 845,404 422,702 211,351 634,054 317,027 951,082 475,541 1,426,624 713,312 356,656 178,328 89,164 44,582 22,291 66,874 33,437 100,312 50,156 25,078 12,539 37,618 18,809 56,428 28,214 14,107 42,322 21,161 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815

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