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Atlas › Integer Profiles › Node 10,072,552

10,072,552

23 × 7 × 412 × 107
Abundant Even Composite

10,072,552 factors as 2^3 × 7 × 41^2 × 107. Its 48 positive divisors give a proper-divisor sum of 12,257,528, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 41^2 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,330,080
Proper Divisor Sum 12,257,528
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #10072537 ← → #10072553

Radix Representation

Decimal 10072552
Binary 100110011011000111101000 (24 bits)
Octal 0o46330750
Hexadecimal 0x99B1E8

Divisor Catalog (48)

1 2 4 7 8 14 28 41 56 82 107 164 214 287 328 428 574 749 856 1,148 1,498 1,681 2,296 2,996 3,362 4,387 5,992 6,724 8,774 11,767 13,448 17,548 23,534 30,709 35,096 47,068 61,418 94,136 122,836 179,867 245,672 359,734 719,468 1,259,069 1,438,936 2,518,138 5,036,276 10,072,552

Collatz Trajectory (176 steps to reach 1)

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

10,072,552 5,036,276 2,518,138 1,259,069 3,777,208 1,888,604 944,302 472,151 1,416,454 708,227 2,124,682 1,062,341 3,187,024 1,593,512 796,756 398,378 199,189 597,568 298,784 149,392 74,696 37,348 18,674 9,337 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777

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