λ
Harmonic Matrix

7,938,501

3 × 2646167
Deficient Odd Composite

7,938,501 has digital root 6. The neighboring primes are 7938481 and 7938503; its proper-divisor sum differs from the starting integer by -5,292,330.

Prime Factor Structure

Factorization String 3 × 2646167
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,584,672
Proper Divisor Sum 2,646,171
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7938481 ← → #7938503

Radix Representation

Decimal 7938501
Binary 11110010010000111000101 (23 bits)
Octal 0o36220705
Hexadecimal 0x7921C5

Divisor Catalog (4)

1 3 2,646,167 7,938,501

Collatz Trajectory (62 steps to reach 1)

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

7,938,501 23,815,504 11,907,752 5,953,876 2,976,938 1,488,469 4,465,408 2,232,704 1,116,352 558,176 279,088 139,544 69,772 34,886 17,443 52,330 26,165 78,496 39,248 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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