λ
Sequence Observatory

1,128,013

29 × 97 × 401
Deficient Odd Composite

Starting at 1,128,013, the Collatz iteration reaches 1 after 59 steps. The first transition is 3384040; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 97 × 401
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,181,880
Proper Divisor Sum 53,867
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1127993 ← → #1128031

Radix Representation

Decimal 1128013
Binary 100010011011001001101 (21 bits)
Octal 0o4233115
Hexadecimal 0x11364D

Divisor Catalog (8)

1 29 97 401 2,813 11,629 38,897 1,128,013

Collatz Trajectory (59 steps to reach 1)

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

1,128,013 3,384,040 1,692,020 846,010 423,005 1,269,016 634,508 317,254 158,627 475,882 237,941 713,824 356,912 178,456 89,228 44,614 22,307 66,922 33,461 100,384 50,192 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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