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Atlas › Integer Profiles › Node 6,276,128

6,276,128

25 × 17 × 83 × 139
Abundant Even Composite

6,276,128 factors as 2^5 × 17 × 83 × 139. Its 48 positive divisors give a proper-divisor sum of 7,059,712, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 83 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,335,840
Proper Divisor Sum 7,059,712
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6276119 ← → #6276131

Radix Representation

Decimal 6276128
Binary 10111111100010000100000 (23 bits)
Octal 0o27742040
Hexadecimal 0x5FC420

Divisor Catalog (48)

1 2 4 8 16 17 32 34 68 83 136 139 166 272 278 332 544 556 664 1,112 1,328 1,411 2,224 2,363 2,656 2,822 4,448 4,726 5,644 9,452 11,288 11,537 18,904 22,576 23,074 37,808 45,152 46,148 75,616 92,296 184,592 196,129 369,184 392,258 784,516 1,569,032 3,138,064 6,276,128

Collatz Trajectory (134 steps to reach 1)

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

6,276,128 3,138,064 1,569,032 784,516 392,258 196,129 588,388 294,194 147,097 441,292 220,646 110,323 330,970 165,485 496,456 248,228 124,114 62,057 186,172 93,086 46,543 139,630 69,815 209,446 104,723 314,170 157,085 471,256 235,628 117,814 58,907 176,722 88,361 265,084 132,542 66,271 198,814 99,407 298,222 149,111 447,334 223,667 671,002 335,501 1,006,504 503,252 251,626 125,813 377,440 188,720 94,360 47,180 23,590 11,795 35,386 17,693 53,080 26,540 13,270 6,635

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