λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,142,016

71,142,016

27 × 11 × 50527
Abundant Even Composite

71,142,016 factors as 2^7 × 11 × 50527. Its 32 positive divisors give a proper-divisor sum of 83,473,664, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 50527
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 154,615,680
Proper Divisor Sum 83,473,664
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #71141933 ← → #71142037

Radix Representation

Decimal 71142016
Binary 100001111011000101010000000 (27 bits)
Octal 0o417305200
Hexadecimal 0x43D8A80

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 50,527 101,054 202,108 404,216 555,797 808,432 1,111,594 1,616,864 2,223,188 3,233,728 4,446,376 6,467,456 8,892,752 17,785,504 35,571,008 71,142,016

Collatz Trajectory (60 steps to reach 1)

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

71,142,016 35,571,008 17,785,504 8,892,752 4,446,376 2,223,188 1,111,594 555,797 1,667,392 833,696 416,848 208,424 104,212 52,106 26,053 78,160 39,080 19,540 9,770 4,885 14,656 7,328 3,664 1,832 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #71,142,015 Browse Full Index Next Integer #71,142,017 →