λ
Harmonic Matrix

7,308,638

2 × 29 × 126011
Deficient Even Composite

7,308,638 has digital root 8. The neighboring primes are 7308629 and 7308643; its proper-divisor sum differs from the starting integer by -3,276,196.

Prime Factor Structure

Factorization String 2 × 29 × 126011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,341,080
Proper Divisor Sum 4,032,442
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7308629 ← → #7308643

Radix Representation

Decimal 7308638
Binary 11011111000010101011110 (23 bits)
Octal 0o33702536
Hexadecimal 0x6F855E

Divisor Catalog (8)

1 2 29 58 126,011 252,022 3,654,319 7,308,638

Collatz Trajectory (160 steps to reach 1)

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

7,308,638 3,654,319 10,962,958 5,481,479 16,444,438 8,222,219 24,666,658 12,333,329 36,999,988 18,499,994 9,249,997 27,749,992 13,874,996 6,937,498 3,468,749 10,406,248 5,203,124 2,601,562 1,300,781 3,902,344 1,951,172 975,586 487,793 1,463,380 731,690 365,845 1,097,536 548,768 274,384 137,192 68,596 34,298 17,149 51,448 25,724 12,862 6,431 19,294 9,647 28,942 14,471 43,414 21,707 65,122 32,561 97,684 48,842 24,421 73,264 36,632 18,316 9,158 4,579 13,738 6,869 20,608 10,304 5,152 2,576 1,288

More profiles

← Previous Integer #7,308,637 Browse Full Index Next Integer #7,308,639 →