λ
Harmonic Matrix

9,907,001

13 × 269 × 2833
Deficient Odd Composite

9,907,001 has digital root 8. The neighboring primes are 9906991 and 9907003; its proper-divisor sum differs from the starting integer by -9,101,482.

Prime Factor Structure

Factorization String 13 × 269 × 2833
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,712,520
Proper Divisor Sum 805,519
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9906991 ← → #9907003

Radix Representation

Decimal 9907001
Binary 100101110010101100111001 (24 bits)
Octal 0o45625471
Hexadecimal 0x972B39

Divisor Catalog (8)

1 13 269 2,833 3,497 36,829 762,077 9,907,001

Collatz Trajectory (313 steps to reach 1)

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

9,907,001 29,721,004 14,860,502 7,430,251 22,290,754 11,145,377 33,436,132 16,718,066 8,359,033 25,077,100 12,538,550 6,269,275 18,807,826 9,403,913 28,211,740 14,105,870 7,052,935 21,158,806 10,579,403 31,738,210 15,869,105 47,607,316 23,803,658 11,901,829 35,705,488 17,852,744 8,926,372 4,463,186 2,231,593 6,694,780 3,347,390 1,673,695 5,021,086 2,510,543 7,531,630 3,765,815 11,297,446 5,648,723 16,946,170 8,473,085 25,419,256 12,709,628 6,354,814 3,177,407 9,532,222 4,766,111 14,298,334 7,149,167 21,447,502 10,723,751 32,171,254 16,085,627 48,256,882 24,128,441 72,385,324 36,192,662 18,096,331 54,288,994 27,144,497 81,433,492

More profiles

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