3,677,804

2² × 13 × 107 × 661

3,677,804 is even and not a perfect square. Its factorization is 2^2 × 13 × 107 × 661 and its 24 divisors sum to 7,006,608.

Prime Factor Structure

Factorization String 2^2 × 13 × 107 × 661

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,006,608

Proper Divisor Sum 3,328,804

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3677803 ← → #3677819

Radix Representation

Decimal	3677804
Binary	1110000001111001101100 (22 bits)
Octal	0o16017154
Hexadecimal	0x381E6C

Divisor Catalog (24)

1 2 4 13 26 52 107 214 428 661 1,322 1,391 2,644 2,782 5,564 8,593 17,186 34,372 70,727 141,454 282,908 919,451 1,838,902 3,677,804

Collatz Trajectory (221 steps to reach 1)

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

3,677,804 1,838,902 919,451 2,758,354 1,379,177 4,137,532 2,068,766 1,034,383 3,103,150 1,551,575 4,654,726 2,327,363 6,982,090 3,491,045 10,473,136 5,236,568 2,618,284 1,309,142 654,571 1,963,714 981,857 2,945,572 1,472,786 736,393 2,209,180 1,104,590 552,295 1,656,886 828,443 2,485,330 1,242,665 3,727,996 1,863,998 931,999 2,795,998 1,397,999 4,193,998 2,096,999 6,290,998 3,145,499 9,436,498 4,718,249 14,154,748 7,077,374 3,538,687 10,616,062 5,308,031 15,924,094 7,962,047 23,886,142 11,943,071 35,829,214 17,914,607 53,743,822 26,871,911 80,615,734 40,307,867 120,923,602 60,461,801 181,385,404

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