λ
Harmonic Matrix

9,703,315

5 × 1940663
Deficient Odd Composite

9,703,315 has digital root 1. The neighboring primes are 9703307 and 9703363; its proper-divisor sum differs from the starting integer by -7,762,646.

Prime Factor Structure

Factorization String 5 × 1940663
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 11,643,984
Proper Divisor Sum 1,940,669
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9703307 ← → #9703363

Radix Representation

Decimal 9703315
Binary 100101000000111110010011 (24 bits)
Octal 0o45007623
Hexadecimal 0x940F93

Divisor Catalog (4)

1 5 1,940,663 9,703,315

Collatz Trajectory (238 steps to reach 1)

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

9,703,315 29,109,946 14,554,973 43,664,920 21,832,460 10,916,230 5,458,115 16,374,346 8,187,173 24,561,520 12,280,760 6,140,380 3,070,190 1,535,095 4,605,286 2,302,643 6,907,930 3,453,965 10,361,896 5,180,948 2,590,474 1,295,237 3,885,712 1,942,856 971,428 485,714 242,857 728,572 364,286 182,143 546,430 273,215 819,646 409,823 1,229,470 614,735 1,844,206 922,103 2,766,310 1,383,155 4,149,466 2,074,733 6,224,200 3,112,100 1,556,050 778,025 2,334,076 1,167,038 583,519 1,750,558 875,279 2,625,838 1,312,919 3,938,758 1,969,379 5,908,138 2,954,069 8,862,208 4,431,104 2,215,552

More profiles

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