λ
Harmonic Matrix

9,908,267

37 × 267791
Deficient Odd Composite

9,908,267 has digital root 5. The neighboring primes are 9908257 and 9908279; its proper-divisor sum differs from the starting integer by -9,640,438.

Prime Factor Structure

Factorization String 37 × 267791
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,176,096
Proper Divisor Sum 267,829
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9908257 ← → #9908279

Radix Representation

Decimal 9908267
Binary 100101110011000000101011 (24 bits)
Octal 0o45630053
Hexadecimal 0x97302B

Divisor Catalog (4)

1 37 267,791 9,908,267

Collatz Trajectory (194 steps to reach 1)

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

9,908,267 29,724,802 14,862,401 44,587,204 22,293,602 11,146,801 33,440,404 16,720,202 8,360,101 25,080,304 12,540,152 6,270,076 3,135,038 1,567,519 4,702,558 2,351,279 7,053,838 3,526,919 10,580,758 5,290,379 15,871,138 7,935,569 23,806,708 11,903,354 5,951,677 17,855,032 8,927,516 4,463,758 2,231,879 6,695,638 3,347,819 10,043,458 5,021,729 15,065,188 7,532,594 3,766,297 11,298,892 5,649,446 2,824,723 8,474,170 4,237,085 12,711,256 6,355,628 3,177,814 1,588,907 4,766,722 2,383,361 7,150,084 3,575,042 1,787,521 5,362,564 2,681,282 1,340,641 4,021,924 2,010,962 1,005,481 3,016,444 1,508,222 754,111 2,262,334

More profiles

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