λ
Harmonic Matrix

7,367,995

5 × 37 × 39827
Deficient Odd Composite

7,367,995 has digital root 1. The neighboring primes are 7367989 and 7367999; its proper-divisor sum differs from the starting integer by -5,655,206.

Prime Factor Structure

Factorization String 5 × 37 × 39827
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,080,784
Proper Divisor Sum 1,712,789
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7367989 ← → #7367999

Radix Representation

Decimal 7367995
Binary 11100000110110100111011 (23 bits)
Octal 0o34066473
Hexadecimal 0x706D3B

Divisor Catalog (8)

1 5 37 185 39,827 199,135 1,473,599 7,367,995

Collatz Trajectory (111 steps to reach 1)

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

7,367,995 22,103,986 11,051,993 33,155,980 16,577,990 8,288,995 24,866,986 12,433,493 37,300,480 18,650,240 9,325,120 4,662,560 2,331,280 1,165,640 582,820 291,410 145,705 437,116 218,558 109,279 327,838 163,919 491,758 245,879 737,638 368,819 1,106,458 553,229 1,659,688 829,844 414,922 207,461 622,384 311,192 155,596 77,798 38,899 116,698 58,349 175,048 87,524 43,762 21,881 65,644 32,822 16,411 49,234 24,617 73,852 36,926 18,463 55,390 27,695 83,086 41,543 124,630 62,315 186,946 93,473 280,420

More profiles

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