λ
Harmonic Matrix

1,720,489

97 × 17737
Deficient Odd Composite

1,720,489 has digital root 4. The neighboring primes are 1720471 and 1720513; its proper-divisor sum differs from the starting integer by -1,702,654.

Prime Factor Structure

Factorization String 97 × 17737
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,738,324
Proper Divisor Sum 17,835
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1720471 ← → #1720513

Radix Representation

Decimal 1720489
Binary 110100100000010101001 (21 bits)
Octal 0o6440251
Hexadecimal 0x1A40A9

Divisor Catalog (4)

1 97 17,737 1,720,489

Collatz Trajectory (101 steps to reach 1)

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

1,720,489 5,161,468 2,580,734 1,290,367 3,871,102 1,935,551 5,806,654 2,903,327 8,709,982 4,354,991 13,064,974 6,532,487 19,597,462 9,798,731 29,396,194 14,698,097 44,094,292 22,047,146 11,023,573 33,070,720 16,535,360 8,267,680 4,133,840 2,066,920 1,033,460 516,730 258,365 775,096 387,548 193,774 96,887 290,662 145,331 435,994 217,997 653,992 326,996 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822

More profiles

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