λ
Harmonic Matrix

2,145,737

11 × 97 × 2011
Deficient Odd Composite

2,145,737 has digital root 2. The neighboring primes are 2145721 and 2145763; its proper-divisor sum differs from the starting integer by -1,925,362.

Prime Factor Structure

Factorization String 11 × 97 × 2011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,366,112
Proper Divisor Sum 220,375
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2145721 ← → #2145763

Radix Representation

Decimal 2145737
Binary 1000001011110111001001 (22 bits)
Octal 0o10136711
Hexadecimal 0x20BDC9

Divisor Catalog (8)

1 11 97 1,067 2,011 22,121 195,067 2,145,737

Collatz Trajectory (122 steps to reach 1)

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

2,145,737 6,437,212 3,218,606 1,609,303 4,827,910 2,413,955 7,241,866 3,620,933 10,862,800 5,431,400 2,715,700 1,357,850 678,925 2,036,776 1,018,388 509,194 254,597 763,792 381,896 190,948 95,474 47,737 143,212 71,606 35,803 107,410 53,705 161,116 80,558 40,279 120,838 60,419 181,258 90,629 271,888 135,944 67,972 33,986 16,993 50,980 25,490 12,745 38,236 19,118 9,559 28,678 14,339 43,018 21,509 64,528 32,264 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269

More profiles

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