λ
Harmonic Matrix

6,696,711

32 × 7 × 106297
Deficient Odd Composite

6,696,711 has digital root 9. The neighboring primes are 6696707 and 6696743; its proper-divisor sum differs from the starting integer by -2,338,430.

Prime Factor Structure

Factorization String 3^2 × 7 × 106297
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,054,992
Proper Divisor Sum 4,358,281
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6696707 ← → #6696743

Radix Representation

Decimal 6696711
Binary 11001100010111100000111 (23 bits)
Octal 0o31427407
Hexadecimal 0x662F07

Divisor Catalog (12)

1 3 7 9 21 63 106,297 318,891 744,079 956,673 2,232,237 6,696,711

Collatz Trajectory (315 steps to reach 1)

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

6,696,711 20,090,134 10,045,067 30,135,202 15,067,601 45,202,804 22,601,402 11,300,701 33,902,104 16,951,052 8,475,526 4,237,763 12,713,290 6,356,645 19,069,936 9,534,968 4,767,484 2,383,742 1,191,871 3,575,614 1,787,807 5,363,422 2,681,711 8,045,134 4,022,567 12,067,702 6,033,851 18,101,554 9,050,777 27,152,332 13,576,166 6,788,083 20,364,250 10,182,125 30,546,376 15,273,188 7,636,594 3,818,297 11,454,892 5,727,446 2,863,723 8,591,170 4,295,585 12,886,756 6,443,378 3,221,689 9,665,068 4,832,534 2,416,267 7,248,802 3,624,401 10,873,204 5,436,602 2,718,301 8,154,904 4,077,452 2,038,726 1,019,363 3,058,090 1,529,045

More profiles

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