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Atlas › Integer Profiles › Node 7,010,064

7,010,064

24 × 36 × 601
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^6 × 601
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 70
Divisor Sum (σ) 20,397,566
Proper Divisor Sum 13,387,502
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #7010051 ← → #7010089

Radix Representation

Decimal 7010064
Binary 11010101111011100010000 (23 bits)
Octal 0o32573420
Hexadecimal 0x6AF710

Divisor Catalog (60 of 70)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 601 648 729 972 1,202 1,296 1,458 1,803 1,944 2,404 2,916 3,606 3,888 4,808 5,409 5,832 7,212 9,616 10,818 11,664 14,424 16,227 21,636 28,848 32,454 43,272 48,681 64,908 86,544 97,362 129,816 146,043 194,724 259,632 292,086

Collatz Trajectory (160 steps to reach 1)

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

7,010,064 3,505,032 1,752,516 876,258 438,129 1,314,388 657,194 328,597 985,792 492,896 246,448 123,224 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214

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