λ
Harmonic Matrix

1,450,351

72 × 29599
Deficient Odd Composite

1,450,351 has digital root 1. The neighboring primes are 1450333 and 1450367; its proper-divisor sum differs from the starting integer by -1,213,502.

Prime Factor Structure

Factorization String 7^2 × 29599
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,687,200
Proper Divisor Sum 236,849
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1450333 ← → #1450367

Radix Representation

Decimal 1450351
Binary 101100010000101101111 (21 bits)
Octal 0o5420557
Hexadecimal 0x16216F

Divisor Catalog (6)

1 7 49 29,599 207,193 1,450,351

Collatz Trajectory (212 steps to reach 1)

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

1,450,351 4,351,054 2,175,527 6,526,582 3,263,291 9,789,874 4,894,937 14,684,812 7,342,406 3,671,203 11,013,610 5,506,805 16,520,416 8,260,208 4,130,104 2,065,052 1,032,526 516,263 1,548,790 774,395 2,323,186 1,161,593 3,484,780 1,742,390 871,195 2,613,586 1,306,793 3,920,380 1,960,190 980,095 2,940,286 1,470,143 4,410,430 2,205,215 6,615,646 3,307,823 9,923,470 4,961,735 14,885,206 7,442,603 22,327,810 11,163,905 33,491,716 16,745,858 8,372,929 25,118,788 12,559,394 6,279,697 18,839,092 9,419,546 4,709,773 14,129,320 7,064,660 3,532,330 1,766,165 5,298,496 2,649,248 1,324,624 662,312 331,156

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