λ
Harmonic Matrix

7,100,739

32 × 788971
Deficient Odd Composite

7,100,739 has digital root 9. The neighboring primes are 7100711 and 7100759; its proper-divisor sum differs from the starting integer by -3,944,842.

Prime Factor Structure

Factorization String 3^2 × 788971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,256,636
Proper Divisor Sum 3,155,897
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7100711 ← → #7100759

Radix Representation

Decimal 7100739
Binary 11011000101100101000011 (23 bits)
Octal 0o33054503
Hexadecimal 0x6C5943

Divisor Catalog (6)

1 3 9 788,971 2,366,913 7,100,739

Collatz Trajectory (178 steps to reach 1)

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

7,100,739 21,302,218 10,651,109 31,953,328 15,976,664 7,988,332 3,994,166 1,997,083 5,991,250 2,995,625 8,986,876 4,493,438 2,246,719 6,740,158 3,370,079 10,110,238 5,055,119 15,165,358 7,582,679 22,748,038 11,374,019 34,122,058 17,061,029 51,183,088 25,591,544 12,795,772 6,397,886 3,198,943 9,596,830 4,798,415 14,395,246 7,197,623 21,592,870 10,796,435 32,389,306 16,194,653 48,583,960 24,291,980 12,145,990 6,072,995 18,218,986 9,109,493 27,328,480 13,664,240 6,832,120 3,416,060 1,708,030 854,015 2,562,046 1,281,023 3,843,070 1,921,535 5,764,606 2,882,303 8,646,910 4,323,455 12,970,366 6,485,183 19,455,550 9,727,775

More profiles

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