λ
Harmonic Matrix

7,936,609

349 × 22741
Deficient Odd Composite

7,936,609 has digital root 4. The neighboring primes are 7936597 and 7936613; its proper-divisor sum differs from the starting integer by -7,913,518.

Prime Factor Structure

Factorization String 349 × 22741
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,959,700
Proper Divisor Sum 23,091
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7936597 ← → #7936613

Radix Representation

Decimal 7936609
Binary 11110010001101001100001 (23 bits)
Octal 0o36215141
Hexadecimal 0x791A61

Divisor Catalog (4)

1 349 22,741 7,936,609

Collatz Trajectory (124 steps to reach 1)

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

7,936,609 23,809,828 11,904,914 5,952,457 17,857,372 8,928,686 4,464,343 13,393,030 6,696,515 20,089,546 10,044,773 30,134,320 15,067,160 7,533,580 3,766,790 1,883,395 5,650,186 2,825,093 8,475,280 4,237,640 2,118,820 1,059,410 529,705 1,589,116 794,558 397,279 1,191,838 595,919 1,787,758 893,879 2,681,638 1,340,819 4,022,458 2,011,229 6,033,688 3,016,844 1,508,422 754,211 2,262,634 1,131,317 3,393,952 1,696,976 848,488 424,244 212,122 106,061 318,184 159,092 79,546 39,773 119,320 59,660 29,830 14,915 44,746 22,373 67,120 33,560 16,780 8,390

More profiles

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