657,889

53 × 12413

Starting at 657,889, the Collatz iteration reaches 1 after 172 steps. The first transition is 1973668; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 53 × 12413

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 670,356

Proper Divisor Sum 12,467

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #657863 ← → #657893

Radix Representation

Decimal	657889
Binary	10100000100111100001 (20 bits)
Octal	0o2404741
Hexadecimal	0xA09E1

Divisor Catalog (4)

1 53 12,413 657,889

Collatz Trajectory (172 steps to reach 1)

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

657,889 1,973,668 986,834 493,417 1,480,252 740,126 370,063 1,110,190 555,095 1,665,286 832,643 2,497,930 1,248,965 3,746,896 1,873,448 936,724 468,362 234,181 702,544 351,272 175,636 87,818 43,909 131,728 65,864 32,932 16,466 8,233 24,700 12,350 6,175 18,526 9,263 27,790 13,895 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175

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