λ
Harmonic Matrix

8,008,383

3 × 2669461
Deficient Odd Composite

8,008,383 has digital root 3. The neighboring primes are 8008381 and 8008387; its proper-divisor sum differs from the starting integer by -5,338,918.

Prime Factor Structure

Factorization String 3 × 2669461
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,677,848
Proper Divisor Sum 2,669,465
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8008381 ← → #8008387

Radix Representation

Decimal 8008383
Binary 11110100011001010111111 (23 bits)
Octal 0o36431277
Hexadecimal 0x7A32BF

Divisor Catalog (4)

1 3 2,669,461 8,008,383

Collatz Trajectory (142 steps to reach 1)

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

8,008,383 24,025,150 12,012,575 36,037,726 18,018,863 54,056,590 27,028,295 81,084,886 40,542,443 121,627,330 60,813,665 182,440,996 91,220,498 45,610,249 136,830,748 68,415,374 34,207,687 102,623,062 51,311,531 153,934,594 76,967,297 230,901,892 115,450,946 57,725,473 173,176,420 86,588,210 43,294,105 129,882,316 64,941,158 32,470,579 97,411,738 48,705,869 146,117,608 73,058,804 36,529,402 18,264,701 54,794,104 27,397,052 13,698,526 6,849,263 20,547,790 10,273,895 30,821,686 15,410,843 46,232,530 23,116,265 69,348,796 34,674,398 17,337,199 52,011,598 26,005,799 78,017,398 39,008,699 117,026,098 58,513,049 175,539,148 87,769,574 43,884,787 131,654,362 65,827,181

More profiles

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