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Atlas › Integer Profiles › Node 39,070,448

39,070,448

24 × 71 × 163 × 211
Deficient Even Composite

39,070,448 factors as 2^4 × 71 × 163 × 211. Its 40 positive divisors give a proper-divisor sum of 38,531,728, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^4 × 71 × 163 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 77,602,176
Proper Divisor Sum 38,531,728
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #39070433 ← → #39070457

Radix Representation

Decimal 39070448
Binary 10010101000010101011110000 (26 bits)
Octal 0o225025360
Hexadecimal 0x2542AF0

Divisor Catalog (40)

1 2 4 8 16 71 142 163 211 284 326 422 568 652 844 1,136 1,304 1,688 2,608 3,376 11,573 14,981 23,146 29,962 34,393 46,292 59,924 68,786 92,584 119,848 137,572 185,168 239,696 275,144 550,288 2,441,903 4,883,806 9,767,612 19,535,224 39,070,448

Collatz Trajectory (116 steps to reach 1)

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

39,070,448 19,535,224 9,767,612 4,883,806 2,441,903 7,325,710 3,662,855 10,988,566 5,494,283 16,482,850 8,241,425 24,724,276 12,362,138 6,181,069 18,543,208 9,271,604 4,635,802 2,317,901 6,953,704 3,476,852 1,738,426 869,213 2,607,640 1,303,820 651,910 325,955 977,866 488,933 1,466,800 733,400 366,700 183,350 91,675 275,026 137,513 412,540 206,270 103,135 309,406 154,703 464,110 232,055 696,166 348,083 1,044,250 522,125 1,566,376 783,188 391,594 195,797 587,392 293,696 146,848 73,424 36,712 18,356 9,178 4,589 13,768 6,884

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