λ
Sequence Observatory

2,429,371

72 × 43 × 1153
Deficient Odd Composite

Starting at 2,429,371, the Collatz iteration reaches 1 after 192 steps. The first transition is 7288114; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 43 × 1153
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,894,232
Proper Divisor Sum 464,861
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2429363 ← → #2429381

Radix Representation

Decimal 2429371
Binary 1001010001000110111011 (22 bits)
Octal 0o11210673
Hexadecimal 0x2511BB

Divisor Catalog (12)

1 7 43 49 301 1,153 2,107 8,071 49,579 56,497 347,053 2,429,371

Collatz Trajectory (192 steps to reach 1)

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

2,429,371 7,288,114 3,644,057 10,932,172 5,466,086 2,733,043 8,199,130 4,099,565 12,298,696 6,149,348 3,074,674 1,537,337 4,612,012 2,306,006 1,153,003 3,459,010 1,729,505 5,188,516 2,594,258 1,297,129 3,891,388 1,945,694 972,847 2,918,542 1,459,271 4,377,814 2,188,907 6,566,722 3,283,361 9,850,084 4,925,042 2,462,521 7,387,564 3,693,782 1,846,891 5,540,674 2,770,337 8,311,012 4,155,506 2,077,753 6,233,260 3,116,630 1,558,315 4,674,946 2,337,473 7,012,420 3,506,210 1,753,105 5,259,316 2,629,658 1,314,829 3,944,488 1,972,244 986,122 493,061 1,479,184 739,592 369,796 184,898 92,449

More profiles

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