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Atlas › Integer Profiles › Node 56,808,708

56,808,708

22 × 3 × 11 × 19 × 22651
Abundant Even Composite

56,808,708 factors as 2^2 × 3 × 11 × 19 × 22651. Its 48 positive divisors give a proper-divisor sum of 95,412,732, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 19 × 22651
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 152,221,440
Proper Divisor Sum 95,412,732
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #56808707 ← → #56808737

Radix Representation

Decimal 56808708
Binary 11011000101101010100000100 (26 bits)
Octal 0o330552404
Hexadecimal 0x362D504

Divisor Catalog (48)

1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1,254 2,508 22,651 45,302 67,953 90,604 135,906 249,161 271,812 430,369 498,322 747,483 860,738 996,644 1,291,107 1,494,966 1,721,476 2,582,214 2,989,932 4,734,059 5,164,428 9,468,118 14,202,177 18,936,236 28,404,354 56,808,708

Collatz Trajectory (163 steps to reach 1)

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

56,808,708 28,404,354 14,202,177 42,606,532 21,303,266 10,651,633 31,954,900 15,977,450 7,988,725 23,966,176 11,983,088 5,991,544 2,995,772 1,497,886 748,943 2,246,830 1,123,415 3,370,246 1,685,123 5,055,370 2,527,685 7,583,056 3,791,528 1,895,764 947,882 473,941 1,421,824 710,912 355,456 177,728 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47

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