λ
Sequence Observatory

1,353,927

3 × 451309
Deficient Odd Composite

Starting at 1,353,927, the Collatz iteration reaches 1 after 261 steps. The first transition is 4061782; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 451309
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,805,240
Proper Divisor Sum 451,313
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1353917 ← → #1353949

Radix Representation

Decimal 1353927
Binary 101001010100011000111 (21 bits)
Octal 0o5124307
Hexadecimal 0x14A8C7

Divisor Catalog (4)

1 3 451,309 1,353,927

Collatz Trajectory (261 steps to reach 1)

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

1,353,927 4,061,782 2,030,891 6,092,674 3,046,337 9,139,012 4,569,506 2,284,753 6,854,260 3,427,130 1,713,565 5,140,696 2,570,348 1,285,174 642,587 1,927,762 963,881 2,891,644 1,445,822 722,911 2,168,734 1,084,367 3,253,102 1,626,551 4,879,654 2,439,827 7,319,482 3,659,741 10,979,224 5,489,612 2,744,806 1,372,403 4,117,210 2,058,605 6,175,816 3,087,908 1,543,954 771,977 2,315,932 1,157,966 578,983 1,736,950 868,475 2,605,426 1,302,713 3,908,140 1,954,070 977,035 2,931,106 1,465,553 4,396,660 2,198,330 1,099,165 3,297,496 1,648,748 824,374 412,187 1,236,562 618,281 1,854,844

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