λ
Harmonic Matrix

1,107,907

17 × 65171
Deficient Odd Composite

1,107,907 has digital root 7. The neighboring primes are 1107893 and 1107913; its proper-divisor sum differs from the starting integer by -1,042,718.

Prime Factor Structure

Factorization String 17 × 65171
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,173,096
Proper Divisor Sum 65,189
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1107893 ← → #1107913

Radix Representation

Decimal 1107907
Binary 100001110011111000011 (21 bits)
Octal 0o4163703
Hexadecimal 0x10E7C3

Divisor Catalog (4)

1 17 65,171 1,107,907

Collatz Trajectory (240 steps to reach 1)

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

1,107,907 3,323,722 1,661,861 4,985,584 2,492,792 1,246,396 623,198 311,599 934,798 467,399 1,402,198 701,099 2,103,298 1,051,649 3,154,948 1,577,474 788,737 2,366,212 1,183,106 591,553 1,774,660 887,330 443,665 1,330,996 665,498 332,749 998,248 499,124 249,562 124,781 374,344 187,172 93,586 46,793 140,380 70,190 35,095 105,286 52,643 157,930 78,965 236,896 118,448 59,224 29,612 14,806 7,403 22,210 11,105 33,316 16,658 8,329 24,988 12,494 6,247 18,742 9,371 28,114 14,057 42,172

More profiles

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