3,693,848

2³ × 181 × 2551

3,693,848 factors as 2^3 × 181 × 2551. Its 16 positive divisors give a proper-divisor sum of 3,273,112, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^3 × 181 × 2551

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,966,960

Proper Divisor Sum 3,273,112

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #3693841 ← → #3693853

Radix Representation

Decimal	3693848
Binary	1110000101110100011000 (22 bits)
Octal	0o16056430
Hexadecimal	0x385D18

Divisor Catalog (16)

1 2 4 8 181 362 724 1,448 2,551 5,102 10,204 20,408 461,731 923,462 1,846,924 3,693,848

Collatz Trajectory (172 steps to reach 1)

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

3,693,848 1,846,924 923,462 461,731 1,385,194 692,597 2,077,792 1,038,896 519,448 259,724 129,862 64,931 194,794 97,397 292,192 146,096 73,048 36,524 18,262 9,131 27,394 13,697 41,092 20,546 10,273 30,820 15,410 7,705 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109

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