λ
Modular Archive

3,801,616

24 × 72 × 13 × 373
Abundant Even Composite

The decimal integer 3,801,616 is 1110100000001000010000 in binary (22 bits), 16401020 in octal and 3A0210 in hexadecimal. Its digit sum is 25.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 13 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,252,012
Proper Divisor Sum 5,450,396
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3801599 ← → #3801617

Radix Representation

Decimal 3801616
Binary 1110100000001000010000 (22 bits)
Octal 0o16401020
Hexadecimal 0x3A0210

Divisor Catalog (60)

1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 373 392 637 728 746 784 1,274 1,456 1,492 2,548 2,611 2,984 4,849 5,096 5,222 5,968 9,698 10,192 10,444 18,277 19,396 20,888 33,943 36,554 38,792 41,776 67,886 73,108 77,584 135,772 146,216 237,601 271,544 292,432 475,202 543,088 950,404 1,900,808 3,801,616

Collatz Trajectory (84 steps to reach 1)

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

3,801,616 1,900,808 950,404 475,202 237,601 712,804 356,402 178,201 534,604 267,302 133,651 400,954 200,477 601,432 300,716 150,358 75,179 225,538 112,769 338,308 169,154 84,577 253,732 126,866 63,433 190,300 95,150 47,575 142,726 71,363 214,090 107,045 321,136 160,568 80,284 40,142 20,071 60,214 30,107 90,322 45,161 135,484 67,742 33,871 101,614 50,807 152,422 76,211 228,634 114,317 342,952 171,476 85,738 42,869 128,608 64,304 32,152 16,076 8,038 4,019

More profiles

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