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Atlas › Integer Profiles › Node 3,751,748

3,751,748

22 × 7 × 11 × 13 × 937
Abundant Even Composite

3,751,748 factors as 2^2 × 7 × 11 × 13 × 937. Its 48 positive divisors give a proper-divisor sum of 5,072,956, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 13 × 937
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,824,704
Proper Divisor Sum 5,072,956
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3751739 ← → #3751753

Radix Representation

Decimal 3751748
Binary 1110010011111101000100 (22 bits)
Octal 0o16237504
Hexadecimal 0x393F44

Divisor Catalog (48)

1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 937 1,001 1,874 2,002 3,748 4,004 6,559 10,307 12,181 13,118 20,614 24,362 26,236 41,228 48,724 72,149 85,267 133,991 144,298 170,534 267,982 288,596 341,068 535,964 937,937 1,875,874 3,751,748

Collatz Trajectory (172 steps to reach 1)

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

3,751,748 1,875,874 937,937 2,813,812 1,406,906 703,453 2,110,360 1,055,180 527,590 263,795 791,386 395,693 1,187,080 593,540 296,770 148,385 445,156 222,578 111,289 333,868 166,934 83,467 250,402 125,201 375,604 187,802 93,901 281,704 140,852 70,426 35,213 105,640 52,820 26,410 13,205 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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