λ
Harmonic Matrix

7,496,713

7 × 239 × 4481
Deficient Odd Composite

7,496,713 has digital root 1. The neighboring primes are 7496701 and 7496719; its proper-divisor sum differs from the starting integer by -6,387,986.

Prime Factor Structure

Factorization String 7 × 239 × 4481
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,605,440
Proper Divisor Sum 1,108,727
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #7496701 ← → #7496719

Radix Representation

Decimal 7496713
Binary 11100100110010000001001 (23 bits)
Octal 0o34462011
Hexadecimal 0x726409

Divisor Catalog (8)

1 7 239 1,673 4,481 31,367 1,070,959 7,496,713

Collatz Trajectory (116 steps to reach 1)

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

7,496,713 22,490,140 11,245,070 5,622,535 16,867,606 8,433,803 25,301,410 12,650,705 37,952,116 18,976,058 9,488,029 28,464,088 14,232,044 7,116,022 3,558,011 10,674,034 5,337,017 16,011,052 8,005,526 4,002,763 12,008,290 6,004,145 18,012,436 9,006,218 4,503,109 13,509,328 6,754,664 3,377,332 1,688,666 844,333 2,533,000 1,266,500 633,250 316,625 949,876 474,938 237,469 712,408 356,204 178,102 89,051 267,154 133,577 400,732 200,366 100,183 300,550 150,275 450,826 225,413 676,240 338,120 169,060 84,530 42,265 126,796 63,398 31,699 95,098 47,549

More profiles

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