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Atlas › Integer Profiles › Node 1,348,974

1,348,974

2 × 34 × 11 × 757
Abundant Even Composite

1,348,974 factors as 2 × 3^4 × 11 × 757. Its 40 positive divisors give a proper-divisor sum of 1,952,874, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 11 × 757
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 3,301,848
Proper Divisor Sum 1,952,874
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1348961 ← → #1348987

Radix Representation

Decimal 1348974
Binary 101001001010101101110 (21 bits)
Octal 0o5112556
Hexadecimal 0x14956E

Divisor Catalog (40)

1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 757 891 1,514 1,782 2,271 4,542 6,813 8,327 13,626 16,654 20,439 24,981 40,878 49,962 61,317 74,943 122,634 149,886 224,829 449,658 674,487 1,348,974

Collatz Trajectory (111 steps to reach 1)

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

1,348,974 674,487 2,023,462 1,011,731 3,035,194 1,517,597 4,552,792 2,276,396 1,138,198 569,099 1,707,298 853,649 2,560,948 1,280,474 640,237 1,920,712 960,356 480,178 240,089 720,268 360,134 180,067 540,202 270,101 810,304 405,152 202,576 101,288 50,644 25,322 12,661 37,984 18,992 9,496 4,748 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438

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