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Atlas › Integer Profiles › Node 10,071,816

10,071,816

23 × 3 × 292 × 499
Abundant Even Composite

10,071,816 factors as 2^3 × 3 × 29^2 × 499. Its 48 positive divisors give a proper-divisor sum of 16,058,184, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 29^2 × 499
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,130,000
Proper Divisor Sum 16,058,184
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10071811 ← → #10071827

Radix Representation

Decimal 10071816
Binary 100110011010111100001000 (24 bits)
Octal 0o46327410
Hexadecimal 0x99AF08

Divisor Catalog (48)

1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 499 696 841 998 1,497 1,682 1,996 2,523 2,994 3,364 3,992 5,046 5,988 6,728 10,092 11,976 14,471 20,184 28,942 43,413 57,884 86,826 115,768 173,652 347,304 419,659 839,318 1,258,977 1,678,636 2,517,954 3,357,272 5,035,908 10,071,816

Collatz Trajectory (251 steps to reach 1)

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

10,071,816 5,035,908 2,517,954 1,258,977 3,776,932 1,888,466 944,233 2,832,700 1,416,350 708,175 2,124,526 1,062,263 3,186,790 1,593,395 4,780,186 2,390,093 7,170,280 3,585,140 1,792,570 896,285 2,688,856 1,344,428 672,214 336,107 1,008,322 504,161 1,512,484 756,242 378,121 1,134,364 567,182 283,591 850,774 425,387 1,276,162 638,081 1,914,244 957,122 478,561 1,435,684 717,842 358,921 1,076,764 538,382 269,191 807,574 403,787 1,211,362 605,681 1,817,044 908,522 454,261 1,362,784 681,392 340,696 170,348 85,174 42,587 127,762 63,881

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