3,748,619

7 × 17³ × 109

3,748,619 factors as 7 × 17^3 × 109. Its 16 positive divisors give a proper-divisor sum of 844,981, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 7 × 17^3 × 109

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,593,600

Proper Divisor Sum 844,981

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3748607 ← → #3748651

Radix Representation

Decimal	3748619
Binary	1110010011001100001011 (22 bits)
Octal	0o16231413
Hexadecimal	0x39330B

Divisor Catalog (16)

1 7 17 109 119 289 763 1,853 2,023 4,913 12,971 31,501 34,391 220,507 535,517 3,748,619

Collatz Trajectory (115 steps to reach 1)

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

3,748,619 11,245,858 5,622,929 16,868,788 8,434,394 4,217,197 12,651,592 6,325,796 3,162,898 1,581,449 4,744,348 2,372,174 1,186,087 3,558,262 1,779,131 5,337,394 2,668,697 8,006,092 4,003,046 2,001,523 6,004,570 3,002,285 9,006,856 4,503,428 2,251,714 1,125,857 3,377,572 1,688,786 844,393 2,533,180 1,266,590 633,295 1,899,886 949,943 2,849,830 1,424,915 4,274,746 2,137,373 6,412,120 3,206,060 1,603,030 801,515 2,404,546 1,202,273 3,606,820 1,803,410 901,705 2,705,116 1,352,558 676,279 2,028,838 1,014,419 3,043,258 1,521,629 4,564,888 2,282,444 1,141,222 570,611 1,711,834 855,917

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