λ
Harmonic Matrix

1,960,348

22 × 13 × 37699
Deficient Even Composite

1,960,348 has digital root 4. The neighboring primes are 1960331 and 1960351; its proper-divisor sum differs from the starting integer by -226,096.

Prime Factor Structure

Factorization String 2^2 × 13 × 37699
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,694,600
Proper Divisor Sum 1,734,252
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1960331 ← → #1960351

Radix Representation

Decimal 1960348
Binary 111011110100110011100 (21 bits)
Octal 0o7364634
Hexadecimal 0x1DE99C

Divisor Catalog (12)

1 2 4 13 26 52 37,699 75,398 150,796 490,087 980,174 1,960,348

Collatz Trajectory (96 steps to reach 1)

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

1,960,348 980,174 490,087 1,470,262 735,131 2,205,394 1,102,697 3,308,092 1,654,046 827,023 2,481,070 1,240,535 3,721,606 1,860,803 5,582,410 2,791,205 8,373,616 4,186,808 2,093,404 1,046,702 523,351 1,570,054 785,027 2,355,082 1,177,541 3,532,624 1,766,312 883,156 441,578 220,789 662,368 331,184 165,592 82,796 41,398 20,699 62,098 31,049 93,148 46,574 23,287 69,862 34,931 104,794 52,397 157,192 78,596 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436

More profiles

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