λ
Harmonic Matrix

1,333,230

2 × 3 × 5 × 19 × 2339
Abundant Even Composite

1,333,230 has digital root 6. The neighboring primes are 1333219 and 1333231; its proper-divisor sum differs from the starting integer by 703,140.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 2339
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,369,600
Proper Divisor Sum 2,036,370
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1333219 ← → #1333231

Radix Representation

Decimal 1333230
Binary 101000101011111101110 (21 bits)
Octal 0o5053756
Hexadecimal 0x1457EE

Divisor Catalog (32)

1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 2,339 4,678 7,017 11,695 14,034 23,390 35,085 44,441 70,170 88,882 133,323 222,205 266,646 444,410 666,615 1,333,230

Collatz Trajectory (142 steps to reach 1)

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

1,333,230 666,615 1,999,846 999,923 2,999,770 1,499,885 4,499,656 2,249,828 1,124,914 562,457 1,687,372 843,686 421,843 1,265,530 632,765 1,898,296 949,148 474,574 237,287 711,862 355,931 1,067,794 533,897 1,601,692 800,846 400,423 1,201,270 600,635 1,801,906 900,953 2,702,860 1,351,430 675,715 2,027,146 1,013,573 3,040,720 1,520,360 760,180 380,090 190,045 570,136 285,068 142,534 71,267 213,802 106,901 320,704 160,352 80,176 40,088 20,044 10,022 5,011 15,034 7,517 22,552 11,276 5,638 2,819 8,458

More profiles

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