λ
Harmonic Matrix

7,317,650

2 × 52 × 17 × 8609
Deficient Even Composite

7,317,650 has digital root 2. The neighboring primes are 7317647 and 7317659; its proper-divisor sum differs from the starting integer by -222,160.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 8609
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,413,140
Proper Divisor Sum 7,095,490
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7317647 ← → #7317659

Radix Representation

Decimal 7317650
Binary 11011111010100010010010 (23 bits)
Octal 0o33724222
Hexadecimal 0x6FA892

Divisor Catalog (24)

1 2 5 10 17 25 34 50 85 170 425 850 8,609 17,218 43,045 86,090 146,353 215,225 292,706 430,450 731,765 1,463,530 3,658,825 7,317,650

Collatz Trajectory (147 steps to reach 1)

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

7,317,650 3,658,825 10,976,476 5,488,238 2,744,119 8,232,358 4,116,179 12,348,538 6,174,269 18,522,808 9,261,404 4,630,702 2,315,351 6,946,054 3,473,027 10,419,082 5,209,541 15,628,624 7,814,312 3,907,156 1,953,578 976,789 2,930,368 1,465,184 732,592 366,296 183,148 91,574 45,787 137,362 68,681 206,044 103,022 51,511 154,534 77,267 231,802 115,901 347,704 173,852 86,926 43,463 130,390 65,195 195,586 97,793 293,380 146,690 73,345 220,036 110,018 55,009 165,028 82,514 41,257 123,772 61,886 30,943 92,830 46,415

More profiles

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