1,257,329

31 × 40559

1,257,329 has digital root 2. The neighboring primes are 1257323 and 1257331; its proper-divisor sum differs from the starting integer by -1,216,738.

Prime Factor Structure

Factorization String 31 × 40559

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,297,920

Proper Divisor Sum 40,591

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1257323 ← → #1257331

Radix Representation

Decimal	1257329
Binary	100110010111101110001 (21 bits)
Octal	0o4627561
Hexadecimal	0x132F71

Divisor Catalog (4)

1 31 40,559 1,257,329

Collatz Trajectory (129 steps to reach 1)

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

1,257,329 3,771,988 1,885,994 942,997 2,828,992 1,414,496 707,248 353,624 176,812 88,406 44,203 132,610 66,305 198,916 99,458 49,729 149,188 74,594 37,297 111,892 55,946 27,973 83,920 41,960 20,980 10,490 5,245 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336

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