8,513,478

2 × 3³ × 37 × 4261

8,513,478 has digital root 9. The neighboring primes are 8513467 and 8513497; its proper-divisor sum differs from the starting integer by 2,407,764.

Prime Factor Structure

Factorization String 2 × 3^3 × 37 × 4261

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,434,720

Proper Divisor Sum 10,921,242

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8513467 ← → #8513497

Radix Representation

Decimal	8513478
Binary	100000011110011111000110 (24 bits)
Octal	0o40363706
Hexadecimal	0x81E7C6

Divisor Catalog (32)

1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1,998 4,261 8,522 12,783 25,566 38,349 76,698 115,047 157,657 230,094 315,314 472,971 945,942 1,418,913 2,837,826 4,256,739 8,513,478

Collatz Trajectory (199 steps to reach 1)

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

8,513,478 4,256,739 12,770,218 6,385,109 19,155,328 9,577,664 4,788,832 2,394,416 1,197,208 598,604 299,302 149,651 448,954 224,477 673,432 336,716 168,358 84,179 252,538 126,269 378,808 189,404 94,702 47,351 142,054 71,027 213,082 106,541 319,624 159,812 79,906 39,953 119,860 59,930 29,965 89,896 44,948 22,474 11,237 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502

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