2,272,032

2⁵ × 3² × 7³ × 23

2,272,032 factors as 2^5 × 3^2 × 7^3 × 23. Its 144 positive divisors give a proper-divisor sum of 5,590,368, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7^3 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 7,862,400

Proper Divisor Sum 5,590,368

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2272019 ← → #2272073

Radix Representation

Decimal	2272032
Binary	1000101010101100100000 (22 bits)
Octal	0o10525440
Hexadecimal	0x22AB20

Divisor Catalog (60 of 144)

1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 49 56 63 69 72 84 92 96 98 112 126 138 144 147 161 168 184 196 207 224 252 276 288 294 322 336 343 368 392 414 441 483 504 552 588 644 672 686 736

Collatz Trajectory (223 steps to reach 1)

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

2,272,032 1,136,016 568,008 284,004 142,002 71,001 213,004 106,502 53,251 159,754 79,877 239,632 119,816 59,908 29,954 14,977 44,932 22,466 11,233 33,700 16,850 8,425 25,276 12,638 6,319 18,958 9,479 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506

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