λ
Harmonic Matrix

9,722,913

3 × 3240971
Deficient Odd Composite

9,722,913 has digital root 6. The neighboring primes are 9722893 and 9722939; its proper-divisor sum differs from the starting integer by -6,481,938.

Prime Factor Structure

Factorization String 3 × 3240971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,963,888
Proper Divisor Sum 3,240,975
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9722893 ← → #9722939

Radix Representation

Decimal 9722913
Binary 100101000101110000100001 (24 bits)
Octal 0o45056041
Hexadecimal 0x945C21

Divisor Catalog (4)

1 3 3,240,971 9,722,913

Collatz Trajectory (344 steps to reach 1)

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

9,722,913 29,168,740 14,584,370 7,292,185 21,876,556 10,938,278 5,469,139 16,407,418 8,203,709 24,611,128 12,305,564 6,152,782 3,076,391 9,229,174 4,614,587 13,843,762 6,921,881 20,765,644 10,382,822 5,191,411 15,574,234 7,787,117 23,361,352 11,680,676 5,840,338 2,920,169 8,760,508 4,380,254 2,190,127 6,570,382 3,285,191 9,855,574 4,927,787 14,783,362 7,391,681 22,175,044 11,087,522 5,543,761 16,631,284 8,315,642 4,157,821 12,473,464 6,236,732 3,118,366 1,559,183 4,677,550 2,338,775 7,016,326 3,508,163 10,524,490 5,262,245 15,786,736 7,893,368 3,946,684 1,973,342 986,671 2,960,014 1,480,007 4,440,022 2,220,011

More profiles

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