λ
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Atlas › Integer Profiles › Node 3,756,498

3,756,498

2 × 3 × 23 × 163 × 167
Abundant Even Composite

3,756,498 factors as 2 × 3 × 23 × 163 × 167. Its 32 positive divisors give a proper-divisor sum of 4,178,478, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 3 × 23 × 163 × 167
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,934,976
Proper Divisor Sum 4,178,478
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3756491 ← → #3756503

Radix Representation

Decimal 3756498
Binary 1110010101000111010010 (22 bits)
Octal 0o16250722
Hexadecimal 0x3951D2

Divisor Catalog (32)

1 2 3 6 23 46 69 138 163 167 326 334 489 501 978 1,002 3,749 3,841 7,498 7,682 11,247 11,523 22,494 23,046 27,221 54,442 81,663 163,326 626,083 1,252,166 1,878,249 3,756,498

Collatz Trajectory (172 steps to reach 1)

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

3,756,498 1,878,249 5,634,748 2,817,374 1,408,687 4,226,062 2,113,031 6,339,094 3,169,547 9,508,642 4,754,321 14,262,964 7,131,482 3,565,741 10,697,224 5,348,612 2,674,306 1,337,153 4,011,460 2,005,730 1,002,865 3,008,596 1,504,298 752,149 2,256,448 1,128,224 564,112 282,056 141,028 70,514 35,257 105,772 52,886 26,443 79,330 39,665 118,996 59,498 29,749 89,248 44,624 22,312 11,156 5,578 2,789 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664

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