λ
Harmonic Matrix

6,976,719

33 × 233 × 1109
Deficient Odd Composite

6,976,719 has digital root 9. The neighboring primes are 6976699 and 6976729; its proper-divisor sum differs from the starting integer by -3,563,838.

Prime Factor Structure

Factorization String 3^3 × 233 × 1109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,389,600
Proper Divisor Sum 3,412,881
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6976699 ← → #6976729

Radix Representation

Decimal 6976719
Binary 11010100111010011001111 (23 bits)
Octal 0o32472317
Hexadecimal 0x6A74CF

Divisor Catalog (16)

1 3 9 27 233 699 1,109 2,097 3,327 6,291 9,981 29,943 258,397 775,191 2,325,573 6,976,719

Collatz Trajectory (204 steps to reach 1)

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

6,976,719 20,930,158 10,465,079 31,395,238 15,697,619 47,092,858 23,546,429 70,639,288 35,319,644 17,659,822 8,829,911 26,489,734 13,244,867 39,734,602 19,867,301 59,601,904 29,800,952 14,900,476 7,450,238 3,725,119 11,175,358 5,587,679 16,763,038 8,381,519 25,144,558 12,572,279 37,716,838 18,858,419 56,575,258 28,287,629 84,862,888 42,431,444 21,215,722 10,607,861 31,823,584 15,911,792 7,955,896 3,977,948 1,988,974 994,487 2,983,462 1,491,731 4,475,194 2,237,597 6,712,792 3,356,396 1,678,198 839,099 2,517,298 1,258,649 3,775,948 1,887,974 943,987 2,831,962 1,415,981 4,247,944 2,123,972 1,061,986 530,993 1,592,980

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