λ
Harmonic Matrix

1,428,900

22 × 3 × 52 × 11 × 433
Abundant Even Composite

1,428,900 has digital root 6. The neighboring primes are 1428899 and 1428923; its proper-divisor sum differs from the starting integer by 1,662,744.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 11 × 433
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 4,520,544
Proper Divisor Sum 3,091,644
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1428899 ← → #1428923

Radix Representation

Decimal 1428900
Binary 101011100110110100100 (21 bits)
Octal 0o5346644
Hexadecimal 0x15CDA4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 433 550 660 825 866 1,100 1,299 1,650 1,732 2,165 2,598 3,300 4,330 4,763 5,196 6,495 8,660 9,526 10,825 12,990 14,289 19,052 21,650 23,815 25,980 28,578 32,475 43,300 47,630 57,156

Collatz Trajectory (243 steps to reach 1)

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

1,428,900 714,450 357,225 1,071,676 535,838 267,919 803,758 401,879 1,205,638 602,819 1,808,458 904,229 2,712,688 1,356,344 678,172 339,086 169,543 508,630 254,315 762,946 381,473 1,144,420 572,210 286,105 858,316 429,158 214,579 643,738 321,869 965,608 482,804 241,402 120,701 362,104 181,052 90,526 45,263 135,790 67,895 203,686 101,843 305,530 152,765 458,296 229,148 114,574 57,287 171,862 85,931 257,794 128,897 386,692 193,346 96,673 290,020 145,010 72,505 217,516 108,758 54,379

More profiles

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