λ
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Atlas › Integer Profiles › Node 59,842,132

59,842,132

22 × 72 × 211 × 1447
Abundant Even Composite

59,842,132 factors as 2^2 × 7^2 × 211 × 1447. Its 36 positive divisors give a proper-divisor sum of 62,641,292, so this integer is abundant. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 211 × 1447
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 122,483,424
Proper Divisor Sum 62,641,292
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #59842129 ← → #59842151

Radix Representation

Decimal 59842132
Binary 11100100010001111001010100 (26 bits)
Octal 0o344217124
Hexadecimal 0x3911E54

Divisor Catalog (36)

1 2 4 7 14 28 49 98 196 211 422 844 1,447 1,477 2,894 2,954 5,788 5,908 10,129 10,339 20,258 20,678 40,516 41,356 70,903 141,806 283,612 305,317 610,634 1,221,268 2,137,219 4,274,438 8,548,876 14,960,533 29,921,066 59,842,132

Collatz Trajectory (189 steps to reach 1)

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

59,842,132 29,921,066 14,960,533 44,881,600 22,440,800 11,220,400 5,610,200 2,805,100 1,402,550 701,275 2,103,826 1,051,913 3,155,740 1,577,870 788,935 2,366,806 1,183,403 3,550,210 1,775,105 5,325,316 2,662,658 1,331,329 3,993,988 1,996,994 998,497 2,995,492 1,497,746 748,873 2,246,620 1,123,310 561,655 1,684,966 842,483 2,527,450 1,263,725 3,791,176 1,895,588 947,794 473,897 1,421,692 710,846 355,423 1,066,270 533,135 1,599,406 799,703 2,399,110 1,199,555 3,598,666 1,799,333 5,398,000 2,699,000 1,349,500 674,750 337,375 1,012,126 506,063 1,518,190 759,095 2,277,286

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