λ
Harmonic Matrix

1,500,357

3 × 500119
Deficient Odd Composite

1,500,357 has digital root 3. The neighboring primes are 1500353 and 1500371; its proper-divisor sum differs from the starting integer by -1,000,234.

Prime Factor Structure

Factorization String 3 × 500119
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,000,480
Proper Divisor Sum 500,123
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1500353 ← → #1500371

Radix Representation

Decimal 1500357
Binary 101101110010011000101 (21 bits)
Octal 0o5562305
Hexadecimal 0x16E4C5

Divisor Catalog (4)

1 3 500,119 1,500,357

Collatz Trajectory (137 steps to reach 1)

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

1,500,357 4,501,072 2,250,536 1,125,268 562,634 281,317 843,952 421,976 210,988 105,494 52,747 158,242 79,121 237,364 118,682 59,341 178,024 89,012 44,506 22,253 66,760 33,380 16,690 8,345 25,036 12,518 6,259 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

More profiles

← Previous Integer #1,500,356 Browse Full Index Next Integer #1,500,358 →