1,208,350

2 × 5² × 11 × 13³

1,208,350 factors as 2 × 5^2 × 11 × 13^3. Its 48 positive divisors give a proper-divisor sum of 1,447,730, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 13^3

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,656,080

Proper Divisor Sum 1,447,730

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1208341 ← → #1208371

Radix Representation

Decimal	1208350
Binary	100100111000000011110 (21 bits)
Octal	0o4470036
Hexadecimal	0x12701E

Divisor Catalog (48)

1 2 5 10 11 13 22 25 26 50 55 65 110 130 143 169 275 286 325 338 550 650 715 845 1,430 1,690 1,859 2,197 3,575 3,718 4,225 4,394 7,150 8,450 9,295 10,985 18,590 21,970 24,167 46,475 48,334 54,925 92,950 109,850 120,835 241,670 604,175 1,208,350

Collatz Trajectory (111 steps to reach 1)

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

1,208,350 604,175 1,812,526 906,263 2,718,790 1,359,395 4,078,186 2,039,093 6,117,280 3,058,640 1,529,320 764,660 382,330 191,165 573,496 286,748 143,374 71,687 215,062 107,531 322,594 161,297 483,892 241,946 120,973 362,920 181,460 90,730 45,365 136,096 68,048 34,024 17,012 8,506 4,253 12,760 6,380 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282

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