2,769,200

2⁴ × 5² × 7 × 23 × 43

2,769,200 is even and not a perfect square. Its factorization is 2^4 × 5^2 × 7 × 23 × 43 and its 120 divisors sum to 8,118,528.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 23 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 8,118,528

Proper Divisor Sum 5,349,328

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #2769167 ← → #2769241

Radix Representation

Decimal	2769200
Binary	1010100100000100110000 (22 bits)
Octal	0o12440460
Hexadecimal	0x2A4130

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 43 46 50 56 70 80 86 92 100 112 115 140 161 172 175 184 200 215 230 280 301 322 344 350 368 400 430 460 560 575 602 644 688 700 805 860 920 989 1,075 1,150 1,204 1,288 1,400 1,505 1,610

Collatz Trajectory (169 steps to reach 1)

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

2,769,200 1,384,600 692,300 346,150 173,075 519,226 259,613 778,840 389,420 194,710 97,355 292,066 146,033 438,100 219,050 109,525 328,576 164,288 82,144 41,072 20,536 10,268 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82

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