λ
Harmonic Matrix

8,712,475

52 × 107 × 3257
Deficient Odd Composite

8,712,475 has digital root 7. The neighboring primes are 8712421 and 8712491; its proper-divisor sum differs from the starting integer by -6,517,166.

Prime Factor Structure

Factorization String 5^2 × 107 × 3257
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,907,784
Proper Divisor Sum 2,195,309
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8712421 ← → #8712491

Radix Representation

Decimal 8712475
Binary 100001001111000100011011 (24 bits)
Octal 0o41170433
Hexadecimal 0x84F11B

Divisor Catalog (12)

1 5 25 107 535 2,675 3,257 16,285 81,425 348,499 1,742,495 8,712,475

Collatz Trajectory (119 steps to reach 1)

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

8,712,475 26,137,426 13,068,713 39,206,140 19,603,070 9,801,535 29,404,606 14,702,303 44,106,910 22,053,455 66,160,366 33,080,183 99,240,550 49,620,275 148,860,826 74,430,413 223,291,240 111,645,620 55,822,810 27,911,405 83,734,216 41,867,108 20,933,554 10,466,777 31,400,332 15,700,166 7,850,083 23,550,250 11,775,125 35,325,376 17,662,688 8,831,344 4,415,672 2,207,836 1,103,918 551,959 1,655,878 827,939 2,483,818 1,241,909 3,725,728 1,862,864 931,432 465,716 232,858 116,429 349,288 174,644 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 12,280 6,140 3,070 1,535

More profiles

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