λ
Harmonic Matrix

7,317,008

24 × 229 × 1997
Deficient Even Composite

7,317,008 has digital root 8. The neighboring primes are 7316977 and 7317029; its proper-divisor sum differs from the starting integer by -388,276.

Prime Factor Structure

Factorization String 2^4 × 229 × 1997
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,245,740
Proper Divisor Sum 6,928,732
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7316977 ← → #7317029

Radix Representation

Decimal 7317008
Binary 11011111010011000010000 (23 bits)
Octal 0o33723020
Hexadecimal 0x6FA610

Divisor Catalog (20)

1 2 4 8 16 229 458 916 1,832 1,997 3,664 3,994 7,988 15,976 31,952 457,313 914,626 1,829,252 3,658,504 7,317,008

Collatz Trajectory (142 steps to reach 1)

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

7,317,008 3,658,504 1,829,252 914,626 457,313 1,371,940 685,970 342,985 1,028,956 514,478 257,239 771,718 385,859 1,157,578 578,789 1,736,368 868,184 434,092 217,046 108,523 325,570 162,785 488,356 244,178 122,089 366,268 183,134 91,567 274,702 137,351 412,054 206,027 618,082 309,041 927,124 463,562 231,781 695,344 347,672 173,836 86,918 43,459 130,378 65,189 195,568 97,784 48,892 24,446 12,223 36,670 18,335 55,006 27,503 82,510 41,255 123,766 61,883 185,650 92,825 278,476

More profiles

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