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Atlas › Integer Profiles › Node 2,952,092

2,952,092

22 × 11 × 132 × 397
Abundant Even Composite

2,952,092 factors as 2^2 × 11 × 13^2 × 397. Its 36 positive divisors give a proper-divisor sum of 3,165,964, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13^2 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 6,118,056
Proper Divisor Sum 3,165,964
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2952029 ← → #2952097

Radix Representation

Decimal 2952092
Binary 1011010000101110011100 (22 bits)
Octal 0o13205634
Hexadecimal 0x2D0B9C

Divisor Catalog (36)

1 2 4 11 13 22 26 44 52 143 169 286 338 397 572 676 794 1,588 1,859 3,718 4,367 5,161 7,436 8,734 10,322 17,468 20,644 56,771 67,093 113,542 134,186 227,084 268,372 738,023 1,476,046 2,952,092

Collatz Trajectory (120 steps to reach 1)

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

2,952,092 1,476,046 738,023 2,214,070 1,107,035 3,321,106 1,660,553 4,981,660 2,490,830 1,245,415 3,736,246 1,868,123 5,604,370 2,802,185 8,406,556 4,203,278 2,101,639 6,304,918 3,152,459 9,457,378 4,728,689 14,186,068 7,093,034 3,546,517 10,639,552 5,319,776 2,659,888 1,329,944 664,972 332,486 166,243 498,730 249,365 748,096 374,048 187,024 93,512 46,756 23,378 11,689 35,068 17,534 8,767 26,302 13,151 39,454 19,727 59,182 29,591 88,774 44,387 133,162 66,581 199,744 99,872 49,936 24,968 12,484 6,242 3,121

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