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Atlas › Integer Profiles › Node 74,716,704

74,716,704

25 × 32 × 61 × 4253
Abundant Even Composite

74,716,704 factors as 2^5 × 3^2 × 61 × 4253. Its 72 positive divisors give a proper-divisor sum of 141,292,908, so this integer is abundant. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 61 × 4253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 216,009,612
Proper Divisor Sum 141,292,908
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #74716703 ← → #74716723

Radix Representation

Decimal 74716704
Binary 100011101000001011000100000 (27 bits)
Octal 0o435013040
Hexadecimal 0x4741620

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1,098 1,464 1,952 2,196 2,928 4,253 4,392 5,856 8,506 8,784 12,759 17,012 17,568 25,518 34,024 38,277 51,036 68,048 76,554 102,072 136,096 153,108 204,144 259,433 306,216 408,288 518,866 612,432 778,299 1,037,732 1,224,864 1,556,598 2,075,464

Collatz Trajectory (272 steps to reach 1)

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

74,716,704 37,358,352 18,679,176 9,339,588 4,669,794 2,334,897 7,004,692 3,502,346 1,751,173 5,253,520 2,626,760 1,313,380 656,690 328,345 985,036 492,518 246,259 738,778 369,389 1,108,168 554,084 277,042 138,521 415,564 207,782 103,891 311,674 155,837 467,512 233,756 116,878 58,439 175,318 87,659 262,978 131,489 394,468 197,234 98,617 295,852 147,926 73,963 221,890 110,945 332,836 166,418 83,209 249,628 124,814 62,407 187,222 93,611 280,834 140,417 421,252 210,626 105,313 315,940 157,970 78,985

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