λ
Harmonic Matrix

9,639,701

9639701
Deficient Odd Prime

9,639,701 has digital root 8. The neighboring primes are 9639677 and 9639719; its proper-divisor sum differs from the starting integer by -9,639,700.

Prime Factor Structure

Factorization String 9639701
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,639,702
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9639677 ← → #9639719

Radix Representation

Decimal 9639701
Binary 100100110001011100010101 (24 bits)
Octal 0o44613425
Hexadecimal 0x931715

Divisor Catalog (2)

Collatz Trajectory (163 steps to reach 1)

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

9,639,701 28,919,104 14,459,552 7,229,776 3,614,888 1,807,444 903,722 451,861 1,355,584 677,792 338,896 169,448 84,724 42,362 21,181 63,544 31,772 15,886 7,943 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

More profiles

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