11,074,000

2⁴ × 5³ × 7² × 113

11,074,000 factors as 2^4 × 5^3 × 7^2 × 113. Its 120 positive divisors give a proper-divisor sum of 20,350,328, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 7^2 × 113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 31,424,328

Proper Divisor Sum 20,350,328

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #11073973 ← → #11074009

Radix Representation

Decimal	11074000
Binary	101010001111100111010000 (24 bits)
Octal	0o52174720
Hexadecimal	0xA8F9D0

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 113 125 140 175 196 200 226 245 250 280 350 392 400 452 490 500 560 565 700 784 791 875 904 980 1,000 1,130 1,225 1,400 1,582 1,750 1,808 1,960 2,000 2,260 2,450 2,800 2,825 3,164

Collatz Trajectory (158 steps to reach 1)

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

11,074,000 5,537,000 2,768,500 1,384,250 692,125 2,076,376 1,038,188 519,094 259,547 778,642 389,321 1,167,964 583,982 291,991 875,974 437,987 1,313,962 656,981 1,970,944 985,472 492,736 246,368 123,184 61,592 30,796 15,398 7,699 23,098 11,549 34,648 17,324 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905 11,716

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