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Atlas › Integer Profiles › Node 10,249,950

10,249,950

2 × 3 × 52 × 23 × 2971
Abundant Even Composite

10,249,950 factors as 2 × 3 × 5^2 × 23 × 2971. Its 48 positive divisors give a proper-divisor sum of 16,284,066, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 23 × 2971
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,534,016
Proper Divisor Sum 16,284,066
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #10249937 ← → #10249951

Radix Representation

Decimal 10249950
Binary 100111000110011011011110 (24 bits)
Octal 0o47063336
Hexadecimal 0x9C66DE

Divisor Catalog (48)

1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1,150 1,725 2,971 3,450 5,942 8,913 14,855 17,826 29,710 44,565 68,333 74,275 89,130 136,666 148,550 204,999 222,825 341,665 409,998 445,650 683,330 1,024,995 1,708,325 2,049,990 3,416,650 5,124,975 10,249,950

Collatz Trajectory (127 steps to reach 1)

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

10,249,950 5,124,975 15,374,926 7,687,463 23,062,390 11,531,195 34,593,586 17,296,793 51,890,380 25,945,190 12,972,595 38,917,786 19,458,893 58,376,680 29,188,340 14,594,170 7,297,085 21,891,256 10,945,628 5,472,814 2,736,407 8,209,222 4,104,611 12,313,834 6,156,917 18,470,752 9,235,376 4,617,688 2,308,844 1,154,422 577,211 1,731,634 865,817 2,597,452 1,298,726 649,363 1,948,090 974,045 2,922,136 1,461,068 730,534 365,267 1,095,802 547,901 1,643,704 821,852 410,926 205,463 616,390 308,195 924,586 462,293 1,386,880 693,440 346,720 173,360 86,680 43,340 21,670 10,835

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