λ
Harmonic Matrix

9,908,763

3 × 3302921
Deficient Odd Composite

9,908,763 has digital root 6. The neighboring primes are 9908753 and 9908797; its proper-divisor sum differs from the starting integer by -6,605,838.

Prime Factor Structure

Factorization String 3 × 3302921
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,211,688
Proper Divisor Sum 3,302,925
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9908753 ← → #9908797

Radix Representation

Decimal 9908763
Binary 100101110011001000011011 (24 bits)
Octal 0o45631033
Hexadecimal 0x97321B

Divisor Catalog (4)

1 3 3,302,921 9,908,763

Collatz Trajectory (344 steps to reach 1)

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

9,908,763 29,726,290 14,863,145 44,589,436 22,294,718 11,147,359 33,442,078 16,721,039 50,163,118 25,081,559 75,244,678 37,622,339 112,867,018 56,433,509 169,300,528 84,650,264 42,325,132 21,162,566 10,581,283 31,743,850 15,871,925 47,615,776 23,807,888 11,903,944 5,951,972 2,975,986 1,487,993 4,463,980 2,231,990 1,115,995 3,347,986 1,673,993 5,021,980 2,510,990 1,255,495 3,766,486 1,883,243 5,649,730 2,824,865 8,474,596 4,237,298 2,118,649 6,355,948 3,177,974 1,588,987 4,766,962 2,383,481 7,150,444 3,575,222 1,787,611 5,362,834 2,681,417 8,044,252 4,022,126 2,011,063 6,033,190 3,016,595 9,049,786 4,524,893 13,574,680

More profiles

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