λ
Harmonic Matrix

2,724,439

97 × 28087
Deficient Odd Composite

2,724,439 has digital root 4. The neighboring primes are 2724427 and 2724479; its proper-divisor sum differs from the starting integer by -2,696,254.

Prime Factor Structure

Factorization String 97 × 28087
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,752,624
Proper Divisor Sum 28,185
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2724427 ← → #2724479

Radix Representation

Decimal 2724439
Binary 1010011001001001010111 (22 bits)
Octal 0o12311127
Hexadecimal 0x299257

Divisor Catalog (4)

1 97 28,087 2,724,439

Collatz Trajectory (337 steps to reach 1)

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

2,724,439 8,173,318 4,086,659 12,259,978 6,129,989 18,389,968 9,194,984 4,597,492 2,298,746 1,149,373 3,448,120 1,724,060 862,030 431,015 1,293,046 646,523 1,939,570 969,785 2,909,356 1,454,678 727,339 2,182,018 1,091,009 3,273,028 1,636,514 818,257 2,454,772 1,227,386 613,693 1,841,080 920,540 460,270 230,135 690,406 345,203 1,035,610 517,805 1,553,416 776,708 388,354 194,177 582,532 291,266 145,633 436,900 218,450 109,225 327,676 163,838 81,919 245,758 122,879 368,638 184,319 552,958 276,479 829,438 414,719 1,244,158 622,079

More profiles

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