λ
Harmonic Matrix

7,626,935

5 × 113 × 13499
Deficient Odd Composite

7,626,935 has digital root 2. The neighboring primes are 7626929 and 7626947; its proper-divisor sum differs from the starting integer by -6,019,870.

Prime Factor Structure

Factorization String 5 × 113 × 13499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,234,000
Proper Divisor Sum 1,607,065
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7626929 ← → #7626947

Radix Representation

Decimal 7626935
Binary 11101000110000010110111 (23 bits)
Octal 0o35060267
Hexadecimal 0x7460B7

Divisor Catalog (8)

1 5 113 565 13,499 67,495 1,525,387 7,626,935

Collatz Trajectory (155 steps to reach 1)

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

7,626,935 22,880,806 11,440,403 34,321,210 17,160,605 51,481,816 25,740,908 12,870,454 6,435,227 19,305,682 9,652,841 28,958,524 14,479,262 7,239,631 21,718,894 10,859,447 32,578,342 16,289,171 48,867,514 24,433,757 73,301,272 36,650,636 18,325,318 9,162,659 27,487,978 13,743,989 41,231,968 20,615,984 10,307,992 5,153,996 2,576,998 1,288,499 3,865,498 1,932,749 5,798,248 2,899,124 1,449,562 724,781 2,174,344 1,087,172 543,586 271,793 815,380 407,690 203,845 611,536 305,768 152,884 76,442 38,221 114,664 57,332 28,666 14,333 43,000 21,500 10,750 5,375 16,126 8,063

More profiles

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