λ
Harmonic Matrix

1,407,155

5 × 281431
Deficient Odd Composite

1,407,155 has digital root 5. The neighboring primes are 1407151 and 1407181; its proper-divisor sum differs from the starting integer by -1,125,718.

Prime Factor Structure

Factorization String 5 × 281431
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,688,592
Proper Divisor Sum 281,437
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1407151 ← → #1407181

Radix Representation

Decimal 1407155
Binary 101010111100010110011 (21 bits)
Octal 0o5274263
Hexadecimal 0x1578B3

Divisor Catalog (4)

1 5 281,431 1,407,155

Collatz Trajectory (75 steps to reach 1)

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

1,407,155 4,221,466 2,110,733 6,332,200 3,166,100 1,583,050 791,525 2,374,576 1,187,288 593,644 296,822 148,411 445,234 222,617 667,852 333,926 166,963 500,890 250,445 751,336 375,668 187,834 93,917 281,752 140,876 70,438 35,219 105,658 52,829 158,488 79,244 39,622 19,811 59,434 29,717 89,152 44,576 22,288 11,144 5,572 2,786 1,393 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7

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