λ
Integer Codex

9,722,210

2 × 5 × 972221
Deficient Even Composite

For 9,722,210, the 8 positive divisors have a total of 17,499,996. Removing 9,722,210 leaves 7,777,786, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 972221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,499,996
Proper Divisor Sum 7,777,786
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9722203 ← → #9722233

Radix Representation

Decimal 9722210
Binary 100101000101100101100010 (24 bits)
Octal 0o45054542
Hexadecimal 0x945962

Divisor Catalog (8)

1 2 5 10 972,221 1,944,442 4,861,105 9,722,210

Collatz Trajectory (62 steps to reach 1)

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

9,722,210 4,861,105 14,583,316 7,291,658 3,645,829 10,937,488 5,468,744 2,734,372 1,367,186 683,593 2,050,780 1,025,390 512,695 1,538,086 769,043 2,307,130 1,153,565 3,460,696 1,730,348 865,174 432,587 1,297,762 648,881 1,946,644 973,322 486,661 1,459,984 729,992 364,996 182,498 91,249 273,748 136,874 68,437 205,312 102,656 51,328 25,664 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8

More profiles

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