λ
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Atlas › Integer Profiles › Node 8,622,072

8,622,072

23 × 33 × 179 × 223
Abundant Even Composite

8,622,072 factors as 2^3 × 3^3 × 179 × 223. Its 64 positive divisors give a proper-divisor sum of 15,569,928, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 179 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,192,000
Proper Divisor Sum 15,569,928
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8622071 ← → #8622113

Radix Representation

Decimal 8622072
Binary 100000111000111111111000 (24 bits)
Octal 0o40707770
Hexadecimal 0x838FF8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 179 216 223 358 446 537 669 716 892 1,074 1,338 1,432 1,611 1,784 2,007 2,148 2,676 3,222 4,014 4,296 4,833 5,352 6,021 6,444 8,028 9,666 12,042 12,888 16,056 19,332 24,084 38,664 39,917 48,168 79,834 119,751 159,668 239,502 319,336 359,253 479,004 718,506 958,008 1,077,759 1,437,012

Collatz Trajectory (243 steps to reach 1)

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

8,622,072 4,311,036 2,155,518 1,077,759 3,233,278 1,616,639 4,849,918 2,424,959 7,274,878 3,637,439 10,912,318 5,456,159 16,368,478 8,184,239 24,552,718 12,276,359 36,829,078 18,414,539 55,243,618 27,621,809 82,865,428 41,432,714 20,716,357 62,149,072 31,074,536 15,537,268 7,768,634 3,884,317 11,652,952 5,826,476 2,913,238 1,456,619 4,369,858 2,184,929 6,554,788 3,277,394 1,638,697 4,916,092 2,458,046 1,229,023 3,687,070 1,843,535 5,530,606 2,765,303 8,295,910 4,147,955 12,443,866 6,221,933 18,665,800 9,332,900 4,666,450 2,333,225 6,999,676 3,499,838 1,749,919 5,249,758 2,624,879 7,874,638 3,937,319 11,811,958

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