319,571

7 × 71 × 643

Starting at 319,571, the Collatz iteration reaches 1 after 215 steps. The first transition is 958714; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 71 × 643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 370,944

Proper Divisor Sum 51,373

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #319567 ← → #319577

Radix Representation

Decimal	319571
Binary	1001110000001010011 (19 bits)
Octal	0o1160123
Hexadecimal	0x4E053

Divisor Catalog (8)

1 7 71 497 643 4,501 45,653 319,571

Collatz Trajectory (215 steps to reach 1)

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

319,571 958,714 479,357 1,438,072 719,036 359,518 179,759 539,278 269,639 808,918 404,459 1,213,378 606,689 1,820,068 910,034 455,017 1,365,052 682,526 341,263 1,023,790 511,895 1,535,686 767,843 2,303,530 1,151,765 3,455,296 1,727,648 863,824 431,912 215,956 107,978 53,989 161,968 80,984 40,492 20,246 10,123 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166

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