λ
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Atlas › Integer Profiles › Node 94,100,748

94,100,748

22 × 3 × 7 × 31 × 36137
Abundant Even Composite

94,100,748 factors as 2^2 × 3 × 7 × 31 × 36137. Its 48 positive divisors give a proper-divisor sum of 164,936,436, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 31 × 36137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 259,037,184
Proper Divisor Sum 164,936,436
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #94100707 ← → #94100789

Radix Representation

Decimal 94100748
Binary 101100110111101110100001100 (27 bits)
Octal 0o546756414
Hexadecimal 0x59BDD0C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1,302 2,604 36,137 72,274 108,411 144,548 216,822 252,959 433,644 505,918 758,877 1,011,836 1,120,247 1,517,754 2,240,494 3,035,508 3,360,741 4,480,988 6,721,482 7,841,729 13,442,964 15,683,458 23,525,187 31,366,916 47,050,374 94,100,748

Collatz Trajectory (174 steps to reach 1)

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

94,100,748 47,050,374 23,525,187 70,575,562 35,287,781 105,863,344 52,931,672 26,465,836 13,232,918 6,616,459 19,849,378 9,924,689 29,774,068 14,887,034 7,443,517 22,330,552 11,165,276 5,582,638 2,791,319 8,373,958 4,186,979 12,560,938 6,280,469 18,841,408 9,420,704 4,710,352 2,355,176 1,177,588 588,794 294,397 883,192 441,596 220,798 110,399 331,198 165,599 496,798 248,399 745,198 372,599 1,117,798 558,899 1,676,698 838,349 2,515,048 1,257,524 628,762 314,381 943,144 471,572 235,786 117,893 353,680 176,840 88,420 44,210 22,105 66,316 33,158 16,579

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