λ
Harmonic Matrix

8,126,079

3 × 13 × 139 × 1499
Deficient Odd Composite

8,126,079 has digital root 6. The neighboring primes are 8126071 and 8126087; its proper-divisor sum differs from the starting integer by -4,492,158.

Prime Factor Structure

Factorization String 3 × 13 × 139 × 1499
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,760,000
Proper Divisor Sum 3,633,921
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8126071 ← → #8126087

Radix Representation

Decimal 8126079
Binary 11110111111111001111111 (23 bits)
Octal 0o36777177
Hexadecimal 0x7BFE7F

Divisor Catalog (16)

1 3 13 39 139 417 1,499 1,807 4,497 5,421 19,487 58,461 208,361 625,083 2,708,693 8,126,079

Collatz Trajectory (243 steps to reach 1)

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

8,126,079 24,378,238 12,189,119 36,567,358 18,283,679 54,851,038 27,425,519 82,276,558 41,138,279 123,414,838 61,707,419 185,122,258 92,561,129 277,683,388 138,841,694 69,420,847 208,262,542 104,131,271 312,393,814 156,196,907 468,590,722 234,295,361 702,886,084 351,443,042 175,721,521 527,164,564 263,582,282 131,791,141 395,373,424 197,686,712 98,843,356 49,421,678 24,710,839 74,132,518 37,066,259 111,198,778 55,599,389 166,798,168 83,399,084 41,699,542 20,849,771 62,549,314 31,274,657 93,823,972 46,911,986 23,455,993 70,367,980 35,183,990 17,591,995 52,775,986 26,387,993 79,163,980 39,581,990 19,790,995 59,372,986 29,686,493 89,059,480 44,529,740 22,264,870 11,132,435

More profiles

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