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Atlas › Integer Profiles › Node 3,074,656

3,074,656

25 × 13 × 19 × 389
Abundant Even Composite

3,074,656 factors as 2^5 × 13 × 19 × 389. Its 48 positive divisors give a proper-divisor sum of 3,804,944, so this integer is abundant. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 19 × 389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,879,600
Proper Divisor Sum 3,804,944
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3074651 ← → #3074657

Radix Representation

Decimal 3074656
Binary 1011101110101001100000 (22 bits)
Octal 0o13565140
Hexadecimal 0x2EEA60

Divisor Catalog (48)

1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 389 416 494 608 778 988 1,556 1,976 3,112 3,952 5,057 6,224 7,391 7,904 10,114 12,448 14,782 20,228 29,564 40,456 59,128 80,912 96,083 118,256 161,824 192,166 236,512 384,332 768,664 1,537,328 3,074,656

Collatz Trajectory (257 steps to reach 1)

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

3,074,656 1,537,328 768,664 384,332 192,166 96,083 288,250 144,125 432,376 216,188 108,094 54,047 162,142 81,071 243,214 121,607 364,822 182,411 547,234 273,617 820,852 410,426 205,213 615,640 307,820 153,910 76,955 230,866 115,433 346,300 173,150 86,575 259,726 129,863 389,590 194,795 584,386 292,193 876,580 438,290 219,145 657,436 328,718 164,359 493,078 246,539 739,618 369,809 1,109,428 554,714 277,357 832,072 416,036 208,018 104,009 312,028 156,014 78,007 234,022 117,011

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