λ
Harmonic Matrix

9,645,637

9645637
Deficient Odd Prime

9,645,637 has digital root 4. The neighboring primes are 9645611 and 9645653; its proper-divisor sum differs from the starting integer by -9,645,636.

Prime Factor Structure

Factorization String 9645637
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,645,638
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9645611 ← → #9645653

Radix Representation

Decimal 9645637
Binary 100100110010111001000101 (24 bits)
Octal 0o44627105
Hexadecimal 0x932E45

Divisor Catalog (2)

Collatz Trajectory (70 steps to reach 1)

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

9,645,637 28,936,912 14,468,456 7,234,228 3,617,114 1,808,557 5,425,672 2,712,836 1,356,418 678,209 2,034,628 1,017,314 508,657 1,525,972 762,986 381,493 1,144,480 572,240 286,120 143,060 71,530 35,765 107,296 53,648 26,824 13,412 6,706 3,353 10,060 5,030 2,515 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34 17 52

More profiles

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