λ
Integer Codex

7,831,346

2 × 37 × 105829
Deficient Even Composite

For 7,831,346, the 8 positive divisors have a total of 12,064,620. Removing 7,831,346 leaves 4,233,274, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 37 × 105829
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,064,620
Proper Divisor Sum 4,233,274
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7831337 ← → #7831357

Radix Representation

Decimal 7831346
Binary 11101110111111100110010 (23 bits)
Octal 0o35677462
Hexadecimal 0x777F32

Divisor Catalog (8)

1 2 37 74 105,829 211,658 3,915,673 7,831,346

Collatz Trajectory (186 steps to reach 1)

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

7,831,346 3,915,673 11,747,020 5,873,510 2,936,755 8,810,266 4,405,133 13,215,400 6,607,700 3,303,850 1,651,925 4,955,776 2,477,888 1,238,944 619,472 309,736 154,868 77,434 38,717 116,152 58,076 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256 19,628 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282

More profiles

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