λ
Harmonic Matrix

7,092,699

3 × 79 × 29927
Deficient Odd Composite

7,092,699 has digital root 6. The neighboring primes are 7092691 and 7092731; its proper-divisor sum differs from the starting integer by -4,608,438.

Prime Factor Structure

Factorization String 3 × 79 × 29927
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,576,960
Proper Divisor Sum 2,484,261
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #7092691 ← → #7092731

Radix Representation

Decimal 7092699
Binary 11011000011100111011011 (23 bits)
Octal 0o33034733
Hexadecimal 0x6C39DB

Divisor Catalog (8)

1 3 79 237 29,927 89,781 2,364,233 7,092,699

Collatz Trajectory (129 steps to reach 1)

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

7,092,699 21,278,098 10,639,049 31,917,148 15,958,574 7,979,287 23,937,862 11,968,931 35,906,794 17,953,397 53,860,192 26,930,096 13,465,048 6,732,524 3,366,262 1,683,131 5,049,394 2,524,697 7,574,092 3,787,046 1,893,523 5,680,570 2,840,285 8,520,856 4,260,428 2,130,214 1,065,107 3,195,322 1,597,661 4,792,984 2,396,492 1,198,246 599,123 1,797,370 898,685 2,696,056 1,348,028 674,014 337,007 1,011,022 505,511 1,516,534 758,267 2,274,802 1,137,401 3,412,204 1,706,102 853,051 2,559,154 1,279,577 3,838,732 1,919,366 959,683 2,879,050 1,439,525 4,318,576 2,159,288 1,079,644 539,822 269,911

More profiles

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