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Atlas › Integer Profiles › Node 7,064,512

7,064,512

26 × 7 × 13 × 1213
Abundant Even Composite

7,064,512 factors as 2^6 × 7 × 13 × 1213. Its 56 positive divisors give a proper-divisor sum of 10,203,424, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 13 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 17,267,936
Proper Divisor Sum 10,203,424
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7064509 ← → #7064527

Radix Representation

Decimal 7064512
Binary 11010111100101111000000 (23 bits)
Octal 0o32745700
Hexadecimal 0x6BCBC0

Divisor Catalog (56)

1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1,213 1,456 2,426 2,912 4,852 5,824 8,491 9,704 15,769 16,982 19,408 31,538 33,964 38,816 63,076 67,928 77,632 110,383 126,152 135,856 220,766 252,304 271,712 441,532 504,608 543,424 883,064 1,009,216 1,766,128 3,532,256 7,064,512

Collatz Trajectory (147 steps to reach 1)

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

7,064,512 3,532,256 1,766,128 883,064 441,532 220,766 110,383 331,150 165,575 496,726 248,363 745,090 372,545 1,117,636 558,818 279,409 838,228 419,114 209,557 628,672 314,336 157,168 78,584 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472

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