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Atlas › Integer Profiles › Node 70,336,672

70,336,672

25 × 7 × 314003
Abundant Even Composite

70,336,672 factors as 2^5 × 7 × 314003. Its 24 positive divisors give a proper-divisor sum of 87,921,344, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^5 × 7 × 314003
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 158,258,016
Proper Divisor Sum 87,921,344
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #70336657 ← → #70336681

Radix Representation

Decimal 70336672
Binary 100001100010100000010100000 (27 bits)
Octal 0o414240240
Hexadecimal 0x43140A0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 314,003 628,006 1,256,012 2,198,021 2,512,024 4,396,042 5,024,048 8,792,084 10,048,096 17,584,168 35,168,336 70,336,672

Collatz Trajectory (65 steps to reach 1)

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

70,336,672 35,168,336 17,584,168 8,792,084 4,396,042 2,198,021 6,594,064 3,297,032 1,648,516 824,258 412,129 1,236,388 618,194 309,097 927,292 463,646 231,823 695,470 347,735 1,043,206 521,603 1,564,810 782,405 2,347,216 1,173,608 586,804 293,402 146,701 440,104 220,052 110,026 55,013 165,040 82,520 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10

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