λ
Prime Ledger

1,333,228

22 × 13 × 25639
Deficient Even Composite

1,333,228 has the prime decomposition 2^2 × 13 × 25639. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 25639
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,512,720
Proper Divisor Sum 1,179,492
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1333219 ← → #1333231

Radix Representation

Decimal 1333228
Binary 101000101011111101100 (21 bits)
Octal 0o5053754
Hexadecimal 0x1457EC

Divisor Catalog (12)

1 2 4 13 26 52 25,639 51,278 102,556 333,307 666,614 1,333,228

Collatz Trajectory (142 steps to reach 1)

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

1,333,228 666,614 333,307 999,922 499,961 1,499,884 749,942 374,971 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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