λ
Harmonic Matrix

9,615,880

23 × 5 × 17 × 79 × 179
Abundant Even Composite

9,615,880 has digital root 1. The neighboring primes are 9615841 and 9615883; its proper-divisor sum differs from the starting integer by 4,096,240.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 79 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 23,328,000
Proper Divisor Sum 13,712,120
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9615841 ← → #9615883

Radix Representation

Decimal 9615880
Binary 100100101011101000001000 (24 bits)
Octal 0o44535010
Hexadecimal 0x92BA08

Divisor Catalog (60 of 64)

1 2 4 5 8 10 17 20 34 40 68 79 85 136 158 170 179 316 340 358 395 632 680 716 790 895 1,343 1,432 1,580 1,790 2,686 3,043 3,160 3,580 5,372 6,086 6,715 7,160 10,744 12,172 13,430 14,141 15,215 24,344 26,860 28,282 30,430 53,720 56,564 60,860 70,705 113,128 121,720 141,410 240,397 282,820 480,794 565,640 961,588 1,201,985

Collatz Trajectory (70 steps to reach 1)

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

9,615,880 4,807,940 2,403,970 1,201,985 3,605,956 1,802,978 901,489 2,704,468 1,352,234 676,117 2,028,352 1,014,176 507,088 253,544 126,772 63,386 31,693 95,080 47,540 23,770 11,885 35,656 17,828 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52

More profiles

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