λ
Harmonic Matrix

1,402,410

2 × 3 × 5 × 46747
Abundant Even Composite

1,402,410 has digital root 3. The neighboring primes are 1402399 and 1402417; its proper-divisor sum differs from the starting integer by 561,036.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 46747
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,365,856
Proper Divisor Sum 1,963,446
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1402399 ← → #1402417

Radix Representation

Decimal 1402410
Binary 101010110011000101010 (21 bits)
Octal 0o5263052
Hexadecimal 0x15662A

Divisor Catalog (16)

1 2 3 5 6 10 15 30 46,747 93,494 140,241 233,735 280,482 467,470 701,205 1,402,410

Collatz Trajectory (168 steps to reach 1)

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

1,402,410 701,205 2,103,616 1,051,808 525,904 262,952 131,476 65,738 32,869 98,608 49,304 24,652 12,326 6,163 18,490 9,245 27,736 13,868 6,934 3,467 10,402 5,201 15,604 7,802 3,901 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

More profiles

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