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Atlas › Integer Profiles › Node 3,585,232

3,585,232

24 × 72 × 17 × 269
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 7^2 × 17 × 269
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 8,587,620
Proper Divisor Sum 5,002,388
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3585229 ← → #3585233

Radix Representation

Decimal 3585232
Binary 1101101011010011010000 (22 bits)
Octal 0o15532320
Hexadecimal 0x36B4D0

Divisor Catalog (60)

1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 269 272 392 476 538 784 833 952 1,076 1,666 1,883 1,904 2,152 3,332 3,766 4,304 4,573 6,664 7,532 9,146 13,181 13,328 15,064 18,292 26,362 30,128 32,011 36,584 52,724 64,022 73,168 105,448 128,044 210,896 224,077 256,088 448,154 512,176 896,308 1,792,616 3,585,232

Collatz Trajectory (141 steps to reach 1)

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

3,585,232 1,792,616 896,308 448,154 224,077 672,232 336,116 168,058 84,029 252,088 126,044 63,022 31,511 94,534 47,267 141,802 70,901 212,704 106,352 53,176 26,588 13,294 6,647 19,942 9,971 29,914 14,957 44,872 22,436 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751

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