λ
Harmonic Matrix

9,962,455

5 × 43 × 46337
Deficient Odd Composite

9,962,455 has digital root 4. The neighboring primes are 9962443 and 9962461; its proper-divisor sum differs from the starting integer by -7,691,678.

Prime Factor Structure

Factorization String 5 × 43 × 46337
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,233,232
Proper Divisor Sum 2,270,777
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9962443 ← → #9962461

Radix Representation

Decimal 9962455
Binary 100110000000001111010111 (24 bits)
Octal 0o46001727
Hexadecimal 0x9803D7

Divisor Catalog (8)

1 5 43 215 46,337 231,685 1,992,491 9,962,455

Collatz Trajectory (145 steps to reach 1)

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

9,962,455 29,887,366 14,943,683 44,831,050 22,415,525 67,246,576 33,623,288 16,811,644 8,405,822 4,202,911 12,608,734 6,304,367 18,913,102 9,456,551 28,369,654 14,184,827 42,554,482 21,277,241 63,831,724 31,915,862 15,957,931 47,873,794 23,936,897 71,810,692 35,905,346 17,952,673 53,858,020 26,929,010 13,464,505 40,393,516 20,196,758 10,098,379 30,295,138 15,147,569 45,442,708 22,721,354 11,360,677 34,082,032 17,041,016 8,520,508 4,260,254 2,130,127 6,390,382 3,195,191 9,585,574 4,792,787 14,378,362 7,189,181 21,567,544 10,783,772 5,391,886 2,695,943 8,087,830 4,043,915 12,131,746 6,065,873 18,197,620 9,098,810 4,549,405 13,648,216

More profiles

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