λ
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9,507,610

2 × 5 × 7 × 71 × 1913
Abundant Even Composite

9,507,610 factors as 2 × 5 × 7 × 71 × 1913. Its 32 positive divisors give a proper-divisor sum of 10,336,742, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 71 × 1913
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,844,352
Proper Divisor Sum 10,336,742
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9507599 ← → #9507637

Radix Representation

Decimal 9507610
Binary 100100010001001100011010 (24 bits)
Octal 0o44211432
Hexadecimal 0x91131A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 71 142 355 497 710 994 1,913 2,485 3,826 4,970 9,565 13,391 19,130 26,782 66,955 133,910 135,823 271,646 679,115 950,761 1,358,230 1,901,522 4,753,805 9,507,610

Collatz Trajectory (75 steps to reach 1)

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

9,507,610 4,753,805 14,261,416 7,130,708 3,565,354 1,782,677 5,348,032 2,674,016 1,337,008 668,504 334,252 167,126 83,563 250,690 125,345 376,036 188,018 94,009 282,028 141,014 70,507 211,522 105,761 317,284 158,642 79,321 237,964 118,982 59,491 178,474 89,237 267,712 133,856 66,928 33,464 16,732 8,366 4,183 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280

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