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Atlas › Integer Profiles › Node 2,736,396

2,736,396

22 × 33 × 13 × 1949
Abundant Even Composite

2,736,396 factors as 2^2 × 3^3 × 13 × 1949. Its 48 positive divisors give a proper-divisor sum of 4,907,604, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 1949
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,644,000
Proper Divisor Sum 4,907,604
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2736367 ← → #2736397

Radix Representation

Decimal 2736396
Binary 1010011100000100001100 (22 bits)
Octal 0o12340414
Hexadecimal 0x29C10C

Divisor Catalog (48)

1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1,404 1,949 3,898 5,847 7,796 11,694 17,541 23,388 25,337 35,082 50,674 52,623 70,164 76,011 101,348 105,246 152,022 210,492 228,033 304,044 456,066 684,099 912,132 1,368,198 2,736,396

Collatz Trajectory (187 steps to reach 1)

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

2,736,396 1,368,198 684,099 2,052,298 1,026,149 3,078,448 1,539,224 769,612 384,806 192,403 577,210 288,605 865,816 432,908 216,454 108,227 324,682 162,341 487,024 243,512 121,756 60,878 30,439 91,318 45,659 136,978 68,489 205,468 102,734 51,367 154,102 77,051 231,154 115,577 346,732 173,366 86,683 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002

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