λ
Harmonic Matrix

9,599,007

3 × 11 × 290879
Deficient Odd Composite

9,599,007 has digital root 3. The neighboring primes are 9598997 and 9599017; its proper-divisor sum differs from the starting integer by -5,235,774.

Prime Factor Structure

Factorization String 3 × 11 × 290879
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,962,240
Proper Divisor Sum 4,363,233
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9598997 ← → #9599017

Radix Representation

Decimal 9599007
Binary 100100100111100000011111 (24 bits)
Octal 0o44474037
Hexadecimal 0x92781F

Divisor Catalog (8)

1 3 11 33 290,879 872,637 3,199,669 9,599,007

Collatz Trajectory (194 steps to reach 1)

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

9,599,007 28,797,022 14,398,511 43,195,534 21,597,767 64,793,302 32,396,651 97,189,954 48,594,977 145,784,932 72,892,466 36,446,233 109,338,700 54,669,350 27,334,675 82,004,026 41,002,013 123,006,040 61,503,020 30,751,510 15,375,755 46,127,266 23,063,633 69,190,900 34,595,450 17,297,725 51,893,176 25,946,588 12,973,294 6,486,647 19,459,942 9,729,971 29,189,914 14,594,957 43,784,872 21,892,436 10,946,218 5,473,109 16,419,328 8,209,664 4,104,832 2,052,416 1,026,208 513,104 256,552 128,276 64,138 32,069 96,208 48,104 24,052 12,026 6,013 18,040 9,020 4,510 2,255 6,766 3,383 10,150

More profiles

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