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Atlas › Integer Profiles › Node 39,026,176

39,026,176

29 × 7 × 10889
Abundant Even Composite

39,026,176 factors as 2^9 × 7 × 10889. Its 40 positive divisors give a proper-divisor sum of 50,097,584, so this integer is abundant. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2^9 × 7 × 10889
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 89,123,760
Proper Divisor Sum 50,097,584
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #39026167 ← → #39026189

Radix Representation

Decimal 39026176
Binary 10010100110111111000000000 (26 bits)
Octal 0o224677000
Hexadecimal 0x2537E00

Divisor Catalog (40)

1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1,792 3,584 10,889 21,778 43,556 76,223 87,112 152,446 174,224 304,892 348,448 609,784 696,896 1,219,568 1,393,792 2,439,136 2,787,584 4,878,272 5,575,168 9,756,544 19,513,088 39,026,176

Collatz Trajectory (284 steps to reach 1)

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

39,026,176 19,513,088 9,756,544 4,878,272 2,439,136 1,219,568 609,784 304,892 152,446 76,223 228,670 114,335 343,006 171,503 514,510 257,255 771,766 385,883 1,157,650 578,825 1,736,476 868,238 434,119 1,302,358 651,179 1,953,538 976,769 2,930,308 1,465,154 732,577 2,197,732 1,098,866 549,433 1,648,300 824,150 412,075 1,236,226 618,113 1,854,340 927,170 463,585 1,390,756 695,378 347,689 1,043,068 521,534 260,767 782,302 391,151 1,173,454 586,727 1,760,182 880,091 2,640,274 1,320,137 3,960,412 1,980,206 990,103 2,970,310 1,485,155

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