λ
Sequence Observatory

5,175,248

24 × 13 × 139 × 179
Abundant Even Composite

Starting at 5,175,248, the Collatz iteration reaches 1 after 126 steps. The first transition is 2587624; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 13 × 139 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,936,800
Proper Divisor Sum 5,761,552
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5175229 ← → #5175251

Radix Representation

Decimal 5175248
Binary 10011101111011111010000 (23 bits)
Octal 0o23573720
Hexadecimal 0x4EF7D0

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 139 179 208 278 358 556 716 1,112 1,432 1,807 2,224 2,327 2,864 3,614 4,654 7,228 9,308 14,456 18,616 24,881 28,912 37,232 49,762 99,524 199,048 323,453 398,096 646,906 1,293,812 2,587,624 5,175,248

Collatz Trajectory (126 steps to reach 1)

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

5,175,248 2,587,624 1,293,812 646,906 323,453 970,360 485,180 242,590 121,295 363,886 181,943 545,830 272,915 818,746 409,373 1,228,120 614,060 307,030 153,515 460,546 230,273 690,820 345,410 172,705 518,116 259,058 129,529 388,588 194,294 97,147 291,442 145,721 437,164 218,582 109,291 327,874 163,937 491,812 245,906 122,953 368,860 184,430 92,215 276,646 138,323 414,970 207,485 622,456 311,228 155,614 77,807 233,422 116,711 350,134 175,067 525,202 262,601 787,804 393,902 196,951

More profiles

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