λ
Sequence Observatory

1,375,176

23 × 3 × 11 × 5209
Abundant Even Composite

Starting at 1,375,176, the Collatz iteration reaches 1 after 93 steps. The first transition is 687588; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 5209
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,751,200
Proper Divisor Sum 2,376,024
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1375159 ← → #1375189

Radix Representation

Decimal 1375176
Binary 101001111101111001000 (21 bits)
Octal 0o5175710
Hexadecimal 0x14FBC8

Divisor Catalog (32)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 5,209 10,418 15,627 20,836 31,254 41,672 57,299 62,508 114,598 125,016 171,897 229,196 343,794 458,392 687,588 1,375,176

Collatz Trajectory (93 steps to reach 1)

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

1,375,176 687,588 343,794 171,897 515,692 257,846 128,923 386,770 193,385 580,156 290,078 145,039 435,118 217,559 652,678 326,339 979,018 489,509 1,468,528 734,264 367,132 183,566 91,783 275,350 137,675 413,026 206,513 619,540 309,770 154,885 464,656 232,328 116,164 58,082 29,041 87,124 43,562 21,781 65,344 32,672 16,336 8,168 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746

More profiles

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