1,297,828

2² × 7 × 46351

1,297,828 factors as 2^2 × 7 × 46351. Its 12 positive divisors give a proper-divisor sum of 1,297,884, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 46351

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,595,712

Proper Divisor Sum 1,297,884

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1297799 ← → #1297841

Radix Representation

Decimal	1297828
Binary	100111100110110100100 (21 bits)
Octal	0o4746644
Hexadecimal	0x13CDA4

Divisor Catalog (12)

1 2 4 7 14 28 46,351 92,702 185,404 324,457 648,914 1,297,828

Collatz Trajectory (67 steps to reach 1)

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

1,297,828 648,914 324,457 973,372 486,686 243,343 730,030 365,015 1,095,046 547,523 1,642,570 821,285 2,463,856 1,231,928 615,964 307,982 153,991 461,974 230,987 692,962 346,481 1,039,444 519,722 259,861 779,584 389,792 194,896 97,448 48,724 24,362 12,181 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40

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