λ
Harmonic Matrix

2,115,645

3 × 5 × 7 × 20149
Deficient Odd Composite

2,115,645 has digital root 6. The neighboring primes are 2115629 and 2115653; its proper-divisor sum differs from the starting integer by -362,490.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 20149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,868,800
Proper Divisor Sum 1,753,155
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2115629 ← → #2115653

Radix Representation

Decimal 2115645
Binary 1000000100100000111101 (22 bits)
Octal 0o10044075
Hexadecimal 0x20483D

Divisor Catalog (16)

1 3 5 7 15 21 35 105 20,149 60,447 100,745 141,043 302,235 423,129 705,215 2,115,645

Collatz Trajectory (197 steps to reach 1)

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

2,115,645 6,346,936 3,173,468 1,586,734 793,367 2,380,102 1,190,051 3,570,154 1,785,077 5,355,232 2,677,616 1,338,808 669,404 334,702 167,351 502,054 251,027 753,082 376,541 1,129,624 564,812 282,406 141,203 423,610 211,805 635,416 317,708 158,854 79,427 238,282 119,141 357,424 178,712 89,356 44,678 22,339 67,018 33,509 100,528 50,264 25,132 12,566 6,283 18,850 9,425 28,276 14,138 7,069 21,208 10,604 5,302 2,651 7,954 3,977 11,932 5,966 2,983 8,950 4,475 13,426

More profiles

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