λ
Sequence Observatory

246,827

7 × 37 × 953
Deficient Odd Composite

Starting at 246,827, the Collatz iteration reaches 1 after 75 steps. The first transition is 740482; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 37 × 953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 290,016
Proper Divisor Sum 43,189
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #246817 ← → #246833

Radix Representation

Decimal 246827
Binary 111100010000101011 (18 bits)
Octal 0o742053
Hexadecimal 0x3C42B

Divisor Catalog (8)

1 7 37 259 953 6,671 35,261 246,827

Collatz Trajectory (75 steps to reach 1)

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

246,827 740,482 370,241 1,110,724 555,362 277,681 833,044 416,522 208,261 624,784 312,392 156,196 78,098 39,049 117,148 58,574 29,287 87,862 43,931 131,794 65,897 197,692 98,846 49,423 148,270 74,135 222,406 111,203 333,610 166,805 500,416 250,208 125,104 62,552 31,276 15,638 7,819 23,458 11,729 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44

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