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Atlas › Integer Profiles › Node 3,369,784

3,369,784

23 × 11 × 149 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11 × 149 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,966,000
Proper Divisor Sum 3,596,216
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3369767 ← → #3369787

Radix Representation

Decimal 3369784
Binary 1100110110101100111000 (22 bits)
Octal 0o14665470
Hexadecimal 0x336B38

Divisor Catalog (32)

1 2 4 8 11 22 44 88 149 257 298 514 596 1,028 1,192 1,639 2,056 2,827 3,278 5,654 6,556 11,308 13,112 22,616 38,293 76,586 153,172 306,344 421,223 842,446 1,684,892 3,369,784

Collatz Trajectory (270 steps to reach 1)

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

3,369,784 1,684,892 842,446 421,223 1,263,670 631,835 1,895,506 947,753 2,843,260 1,421,630 710,815 2,132,446 1,066,223 3,198,670 1,599,335 4,798,006 2,399,003 7,197,010 3,598,505 10,795,516 5,397,758 2,698,879 8,096,638 4,048,319 12,144,958 6,072,479 18,217,438 9,108,719 27,326,158 13,663,079 40,989,238 20,494,619 61,483,858 30,741,929 92,225,788 46,112,894 23,056,447 69,169,342 34,584,671 103,754,014 51,877,007 155,631,022 77,815,511 233,446,534 116,723,267 350,169,802 175,084,901 525,254,704 262,627,352 131,313,676 65,656,838 32,828,419 98,485,258 49,242,629 147,727,888 73,863,944 36,931,972 18,465,986 9,232,993 27,698,980

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