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Atlas › Integer Profiles › Node 7,315,656

7,315,656

23 × 3 × 23 × 29 × 457
Abundant Even Composite

7,315,656 factors as 2^3 × 3 × 23 × 29 × 457. Its 64 positive divisors give a proper-divisor sum of 12,469,944, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 29 × 457
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,785,600
Proper Divisor Sum 12,469,944
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7315631 ← → #7315657

Radix Representation

Decimal 7315656
Binary 11011111010000011001000 (23 bits)
Octal 0o33720310
Hexadecimal 0x6FA0C8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 348 457 552 667 696 914 1,334 1,371 1,828 2,001 2,668 2,742 3,656 4,002 5,336 5,484 8,004 10,511 10,968 13,253 16,008 21,022 26,506 31,533 39,759 42,044 53,012 63,066 79,518 84,088 106,024 126,132 159,036 252,264 304,819 318,072 609,638 914,457 1,219,276

Collatz Trajectory (266 steps to reach 1)

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

7,315,656 3,657,828 1,828,914 914,457 2,743,372 1,371,686 685,843 2,057,530 1,028,765 3,086,296 1,543,148 771,574 385,787 1,157,362 578,681 1,736,044 868,022 434,011 1,302,034 651,017 1,953,052 976,526 488,263 1,464,790 732,395 2,197,186 1,098,593 3,295,780 1,647,890 823,945 2,471,836 1,235,918 617,959 1,853,878 926,939 2,780,818 1,390,409 4,171,228 2,085,614 1,042,807 3,128,422 1,564,211 4,692,634 2,346,317 7,038,952 3,519,476 1,759,738 879,869 2,639,608 1,319,804 659,902 329,951 989,854 494,927 1,484,782 742,391 2,227,174 1,113,587 3,340,762 1,670,381

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