λ
Harmonic Matrix

1,739,201

1739201
Deficient Odd Prime

1,739,201 has digital root 5. The neighboring primes are 1739197 and 1739207; its proper-divisor sum differs from the starting integer by -1,739,200.

Prime Factor Structure

Factorization String 1739201
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,739,202
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1739197 ← → #1739207

Radix Representation

Decimal 1739201
Binary 110101000100111000001 (21 bits)
Octal 0o6504701
Hexadecimal 0x1A89C1

Divisor Catalog (2)

Collatz Trajectory (96 steps to reach 1)

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

1,739,201 5,217,604 2,608,802 1,304,401 3,913,204 1,956,602 978,301 2,934,904 1,467,452 733,726 366,863 1,100,590 550,295 1,650,886 825,443 2,476,330 1,238,165 3,714,496 1,857,248 928,624 464,312 232,156 116,078 58,039 174,118 87,059 261,178 130,589 391,768 195,884 97,942 48,971 146,914 73,457 220,372 110,186 55,093 165,280 82,640 41,320 20,660 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307

More profiles

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