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10,072,560

24 × 3 × 5 × 41969
Abundant Even Composite

10,072,560 factors as 2^4 × 3 × 5 × 41969. Its 40 positive divisors give a proper-divisor sum of 21,153,120, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 41969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 31,225,680
Proper Divisor Sum 21,153,120
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #10072553 ← → #10072561

Radix Representation

Decimal 10072560
Binary 100110011011000111110000 (24 bits)
Octal 0o46330760
Hexadecimal 0x99B1F0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41,969 83,938 125,907 167,876 209,845 251,814 335,752 419,690 503,628 629,535 671,504 839,380 1,007,256 1,259,070 1,678,760 2,014,512 2,518,140 3,357,520 5,036,280 10,072,560

Collatz Trajectory (114 steps to reach 1)

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

10,072,560 5,036,280 2,518,140 1,259,070 629,535 1,888,606 944,303 2,832,910 1,416,455 4,249,366 2,124,683 6,374,050 3,187,025 9,561,076 4,780,538 2,390,269 7,170,808 3,585,404 1,792,702 896,351 2,689,054 1,344,527 4,033,582 2,016,791 6,050,374 3,025,187 9,075,562 4,537,781 13,613,344 6,806,672 3,403,336 1,701,668 850,834 425,417 1,276,252 638,126 319,063 957,190 478,595 1,435,786 717,893 2,153,680 1,076,840 538,420 269,210 134,605 403,816 201,908 100,954 50,477 151,432 75,716 37,858 18,929 56,788 28,394 14,197 42,592 21,296 10,648

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