971,324

2² × 37 × 6563

Starting at 971,324, the Collatz iteration reaches 1 after 214 steps. The first transition is 485662; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 6563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,746,024

Proper Divisor Sum 774,700

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #971309 ← → #971339

Radix Representation

Decimal	971324
Binary	11101101001000111100 (20 bits)
Octal	0o3551074
Hexadecimal	0xED23C

Divisor Catalog (12)

1 2 4 37 74 148 6,563 13,126 26,252 242,831 485,662 971,324

Collatz Trajectory (214 steps to reach 1)

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

971,324 485,662 242,831 728,494 364,247 1,092,742 546,371 1,639,114 819,557 2,458,672 1,229,336 614,668 307,334 153,667 461,002 230,501 691,504 345,752 172,876 86,438 43,219 129,658 64,829 194,488 97,244 48,622 24,311 72,934 36,467 109,402 54,701 164,104 82,052 41,026 20,513 61,540 30,770 15,385 46,156 23,078 11,539 34,618 17,309 51,928 25,964 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976

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