λ
Sequence Observatory

1,312,931

1312931
Deficient Odd Prime

Starting at 1,312,931, the Collatz iteration reaches 1 after 186 steps. The first transition is 3938794; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1312931
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,312,932
Proper Divisor Sum 1
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1312921 ← → #1312937

Radix Representation

Decimal 1312931
Binary 101000000100010100011 (21 bits)
Octal 0o5004243
Hexadecimal 0x1408A3

Divisor Catalog (2)

1 1,312,931

Collatz Trajectory (186 steps to reach 1)

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

1,312,931 3,938,794 1,969,397 5,908,192 2,954,096 1,477,048 738,524 369,262 184,631 553,894 276,947 830,842 415,421 1,246,264 623,132 311,566 155,783 467,350 233,675 701,026 350,513 1,051,540 525,770 262,885 788,656 394,328 197,164 98,582 49,291 147,874 73,937 221,812 110,906 55,453 166,360 83,180 41,590 20,795 62,386 31,193 93,580 46,790 23,395 70,186 35,093 105,280 52,640 26,320 13,160 6,580 3,290 1,645 4,936 2,468 1,234 617 1,852 926 463 1,390

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