λ
Harmonic Matrix

7,091,018

2 × 11 × 322319
Deficient Even Composite

7,091,018 has digital root 8. The neighboring primes are 7091017 and 7091027; its proper-divisor sum differs from the starting integer by -2,578,516.

Prime Factor Structure

Factorization String 2 × 11 × 322319
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,603,520
Proper Divisor Sum 4,512,502
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7091017 ← → #7091027

Radix Representation

Decimal 7091018
Binary 11011000011001101001010 (23 bits)
Octal 0o33031512
Hexadecimal 0x6C334A

Divisor Catalog (8)

1 2 11 22 322,319 644,638 3,545,509 7,091,018

Collatz Trajectory (121 steps to reach 1)

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

7,091,018 3,545,509 10,636,528 5,318,264 2,659,132 1,329,566 664,783 1,994,350 997,175 2,991,526 1,495,763 4,487,290 2,243,645 6,730,936 3,365,468 1,682,734 841,367 2,524,102 1,262,051 3,786,154 1,893,077 5,679,232 2,839,616 1,419,808 709,904 354,952 177,476 88,738 44,369 133,108 66,554 33,277 99,832 49,916 24,958 12,479 37,438 18,719 56,158 28,079 84,238 42,119 126,358 63,179 189,538 94,769 284,308 142,154 71,077 213,232 106,616 53,308 26,654 13,327 39,982 19,991 59,974 29,987 89,962 44,981

More profiles

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