λ
Sigma Notebook

8,730,592

25 × 13 × 31 × 677
Abundant Even Composite

8,730,592 is even and not a perfect square. Its factorization is 2^5 × 13 × 31 × 677 and its 48 divisors sum to 19,135,872.

Prime Factor Structure

Factorization String 2^5 × 13 × 31 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,135,872
Proper Divisor Sum 10,405,280
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8730583 ← → #8730607

Radix Representation

Decimal 8730592
Binary 100001010011011111100000 (24 bits)
Octal 0o41233740
Hexadecimal 0x8537E0

Divisor Catalog (48)

1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 677 806 992 1,354 1,612 2,708 3,224 5,416 6,448 8,801 10,832 12,896 17,602 20,987 21,664 35,204 41,974 70,408 83,948 140,816 167,896 272,831 281,632 335,792 545,662 671,584 1,091,324 2,182,648 4,365,296 8,730,592

Collatz Trajectory (199 steps to reach 1)

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

8,730,592 4,365,296 2,182,648 1,091,324 545,662 272,831 818,494 409,247 1,227,742 613,871 1,841,614 920,807 2,762,422 1,381,211 4,143,634 2,071,817 6,215,452 3,107,726 1,553,863 4,661,590 2,330,795 6,992,386 3,496,193 10,488,580 5,244,290 2,622,145 7,866,436 3,933,218 1,966,609 5,899,828 2,949,914 1,474,957 4,424,872 2,212,436 1,106,218 553,109 1,659,328 829,664 414,832 207,416 103,708 51,854 25,927 77,782 38,891 116,674 58,337 175,012 87,506 43,753 131,260 65,630 32,815 98,446 49,223 147,670 73,835 221,506 110,753 332,260

More profiles

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