8,508,880

2⁴ × 5 × 31 × 47 × 73

8,508,880 has digital root 1. The neighboring primes are 8508847 and 8508881; its proper-divisor sum differs from the starting integer by 4,123,744.

Prime Factor Structure

Factorization String 2^4 × 5 × 31 × 47 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 21,141,504

Proper Divisor Sum 12,632,624

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8508847 ← → #8508881

Radix Representation

Decimal	8508880
Binary	100000011101010111010000 (24 bits)
Octal	0o40352720
Hexadecimal	0x81D5D0

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 31 40 47 62 73 80 94 124 146 155 188 235 248 292 310 365 376 470 496 584 620 730 752 940 1,168 1,240 1,457 1,460 1,880 2,263 2,480 2,914 2,920 3,431 3,760 4,526 5,828 5,840 6,862 7,285 9,052 11,315 11,656 13,724 14,570 17,155 18,104 22,630 23,312 27,448 29,140 34,310

Collatz Trajectory (106 steps to reach 1)

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

8,508,880 4,254,440 2,127,220 1,063,610 531,805 1,595,416 797,708 398,854 199,427 598,282 299,141 897,424 448,712 224,356 112,178 56,089 168,268 84,134 42,067 126,202 63,101 189,304 94,652 47,326 23,663 70,990 35,495 106,486 53,243 159,730 79,865 239,596 119,798 59,899 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998

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