λ
Harmonic Matrix

1,530,702

2 × 32 × 277 × 307
Abundant Even Composite

1,530,702 has digital root 9. The neighboring primes are 1530691 and 1530703; its proper-divisor sum differs from the starting integer by 277,932.

Prime Factor Structure

Factorization String 2 × 3^2 × 277 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,339,336
Proper Divisor Sum 1,808,634
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1530691 ← → #1530703

Radix Representation

Decimal 1530702
Binary 101110101101101001110 (21 bits)
Octal 0o5655516
Hexadecimal 0x175B4E

Divisor Catalog (24)

1 2 3 6 9 18 277 307 554 614 831 921 1,662 1,842 2,493 2,763 4,986 5,526 85,039 170,078 255,117 510,234 765,351 1,530,702

Collatz Trajectory (80 steps to reach 1)

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

1,530,702 765,351 2,296,054 1,148,027 3,444,082 1,722,041 5,166,124 2,583,062 1,291,531 3,874,594 1,937,297 5,811,892 2,905,946 1,452,973 4,358,920 2,179,460 1,089,730 544,865 1,634,596 817,298 408,649 1,225,948 612,974 306,487 919,462 459,731 1,379,194 689,597 2,068,792 1,034,396 517,198 258,599 775,798 387,899 1,163,698 581,849 1,745,548 872,774 436,387 1,309,162 654,581 1,963,744 981,872 490,936 245,468 122,734 61,367 184,102 92,051 276,154 138,077 414,232 207,116 103,558 51,779 155,338 77,669 233,008 116,504 58,252

More profiles

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