λ
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Atlas › Integer Profiles › Node 71,233,596

71,233,596

22 × 32 × 7 × 67 × 4219
Abundant Even Composite

71,233,596 factors as 2^2 × 3^2 × 7 × 67 × 4219. Its 72 positive divisors give a proper-divisor sum of 137,673,284, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 67 × 4219
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 208,906,880
Proper Divisor Sum 137,673,284
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #71233577 ← → #71233607

Radix Representation

Decimal 71233596
Binary 100001111101111000000111100 (27 bits)
Octal 0o417570074
Hexadecimal 0x43EF03C

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1,206 1,407 1,876 2,412 2,814 4,219 4,221 5,628 8,438 8,442 12,657 16,876 16,884 25,314 29,533 37,971 50,628 59,066 75,942 88,599 118,132 151,884 177,198 265,797 282,673 354,396 531,594 565,346 848,019 1,063,188 1,130,692 1,696,038 1,978,711

Collatz Trajectory (145 steps to reach 1)

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

71,233,596 35,616,798 17,808,399 53,425,198 26,712,599 80,137,798 40,068,899 120,206,698 60,103,349 180,310,048 90,155,024 45,077,512 22,538,756 11,269,378 5,634,689 16,904,068 8,452,034 4,226,017 12,678,052 6,339,026 3,169,513 9,508,540 4,754,270 2,377,135 7,131,406 3,565,703 10,697,110 5,348,555 16,045,666 8,022,833 24,068,500 12,034,250 6,017,125 18,051,376 9,025,688 4,512,844 2,256,422 1,128,211 3,384,634 1,692,317 5,076,952 2,538,476 1,269,238 634,619 1,903,858 951,929 2,855,788 1,427,894 713,947 2,141,842 1,070,921 3,212,764 1,606,382 803,191 2,409,574 1,204,787 3,614,362 1,807,181 5,421,544 2,710,772

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