λ
Harmonic Matrix

6,935,007

3 × 2311669
Deficient Odd Composite

6,935,007 has digital root 3. The neighboring primes are 6935003 and 6935011; its proper-divisor sum differs from the starting integer by -4,623,334.

Prime Factor Structure

Factorization String 3 × 2311669
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,246,680
Proper Divisor Sum 2,311,673
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6935003 ← → #6935011

Radix Representation

Decimal 6935007
Binary 11010011101000111011111 (23 bits)
Octal 0o32350737
Hexadecimal 0x69D1DF

Divisor Catalog (4)

1 3 2,311,669 6,935,007

Collatz Trajectory (160 steps to reach 1)

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

6,935,007 20,805,022 10,402,511 31,207,534 15,603,767 46,811,302 23,405,651 70,216,954 35,108,477 105,325,432 52,662,716 26,331,358 13,165,679 39,497,038 19,748,519 59,245,558 29,622,779 88,868,338 44,434,169 133,302,508 66,651,254 33,325,627 99,976,882 49,988,441 149,965,324 74,982,662 37,491,331 112,473,994 56,236,997 168,710,992 84,355,496 42,177,748 21,088,874 10,544,437 31,633,312 15,816,656 7,908,328 3,954,164 1,977,082 988,541 2,965,624 1,482,812 741,406 370,703 1,112,110 556,055 1,668,166 834,083 2,502,250 1,251,125 3,753,376 1,876,688 938,344 469,172 234,586 117,293 351,880 175,940 87,970 43,985

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