10,248,524

2² × 11 × 13 × 19 × 23 × 41

10,248,524 factors as 2^2 × 11 × 13 × 19 × 23 × 41. Its 96 positive divisors give a proper-divisor sum of 13,459,636, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 19 × 23 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 23,708,160

Proper Divisor Sum 13,459,636

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #10248517 ← → #10248529

Radix Representation

Decimal	10248524
Binary	100111000110000101001100 (24 bits)
Octal	0o47060514
Hexadecimal	0x9C614C

Divisor Catalog (60 of 96)

1 2 4 11 13 19 22 23 26 38 41 44 46 52 76 82 92 143 164 209 247 253 286 299 418 437 451 494 506 533 572 598 779 836 874 902 943 988 1,012 1,066 1,196 1,558 1,748 1,804 1,886 2,132 2,717 3,116 3,289 3,772 4,807 5,434 5,681 5,863 6,578 8,569 9,614 10,127 10,373 10,868

Collatz Trajectory (127 steps to reach 1)

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

10,248,524 5,124,262 2,562,131 7,686,394 3,843,197 11,529,592 5,764,796 2,882,398 1,441,199 4,323,598 2,161,799 6,485,398 3,242,699 9,728,098 4,864,049 14,592,148 7,296,074 3,648,037 10,944,112 5,472,056 2,736,028 1,368,014 684,007 2,052,022 1,026,011 3,078,034 1,539,017 4,617,052 2,308,526 1,154,263 3,462,790 1,731,395 5,194,186 2,597,093 7,791,280 3,895,640 1,947,820 973,910 486,955 1,460,866 730,433 2,191,300 1,095,650 547,825 1,643,476 821,738 410,869 1,232,608 616,304 308,152 154,076 77,038 38,519 115,558 57,779 173,338 86,669 260,008 130,004 65,002

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