957,948

2² × 3 × 79829

Starting at 957,948, the Collatz iteration reaches 1 after 245 steps. The first transition is 478974; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 79829

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,235,240

Proper Divisor Sum 1,277,292

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #957937 ← → #957949

Radix Representation

Decimal	957948
Binary	11101001110111111100 (20 bits)
Octal	0o3516774
Hexadecimal	0xE9DFC

Divisor Catalog (12)

1 2 3 4 6 12 79,829 159,658 239,487 319,316 478,974 957,948

Collatz Trajectory (245 steps to reach 1)

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

957,948 478,974 239,487 718,462 359,231 1,077,694 538,847 1,616,542 808,271 2,424,814 1,212,407 3,637,222 1,818,611 5,455,834 2,727,917 8,183,752 4,091,876 2,045,938 1,022,969 3,068,908 1,534,454 767,227 2,301,682 1,150,841 3,452,524 1,726,262 863,131 2,589,394 1,294,697 3,884,092 1,942,046 971,023 2,913,070 1,456,535 4,369,606 2,184,803 6,554,410 3,277,205 9,831,616 4,915,808 2,457,904 1,228,952 614,476 307,238 153,619 460,858 230,429 691,288 345,644 172,822 86,411 259,234 129,617 388,852 194,426 97,213 291,640 145,820 72,910 36,455

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