1,299,960

2³ × 3² × 5 × 23 × 157

1,299,960 factors as 2^3 × 3^2 × 5 × 23 × 157. Its 96 positive divisors give a proper-divisor sum of 3,136,680, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 23 × 157

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 4,436,640

Proper Divisor Sum 3,136,680

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1299953 ← → #1299979

Radix Representation

Decimal	1299960
Binary	100111101010111111000 (21 bits)
Octal	0o4752770
Hexadecimal	0x13D5F8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 157 180 184 207 230 276 314 345 360 414 460 471 552 628 690 785 828 920 942 1,035 1,256 1,380 1,413 1,570 1,656 1,884 2,070 2,355 2,760 2,826 3,140 3,611

Collatz Trajectory (204 steps to reach 1)

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

1,299,960 649,980 324,990 162,495 487,486 243,743 731,230 365,615 1,096,846 548,423 1,645,270 822,635 2,467,906 1,233,953 3,701,860 1,850,930 925,465 2,776,396 1,388,198 694,099 2,082,298 1,041,149 3,123,448 1,561,724 780,862 390,431 1,171,294 585,647 1,756,942 878,471 2,635,414 1,317,707 3,953,122 1,976,561 5,929,684 2,964,842 1,482,421 4,447,264 2,223,632 1,111,816 555,908 277,954 138,977 416,932 208,466 104,233 312,700 156,350 78,175 234,526 117,263 351,790 175,895 527,686 263,843 791,530 395,765 1,187,296 593,648 296,824

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