λ
Sequence Observatory

1,455,714

2 × 32 × 13 × 6221
Abundant Even Composite

Starting at 1,455,714, the Collatz iteration reaches 1 after 75 steps. The first transition is 727857; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 6221
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,397,212
Proper Divisor Sum 1,941,498
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1455703 ← → #1455721

Radix Representation

Decimal 1455714
Binary 101100011011001100010 (21 bits)
Octal 0o5433142
Hexadecimal 0x163662

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 6,221 12,442 18,663 37,326 55,989 80,873 111,978 161,746 242,619 485,238 727,857 1,455,714

Collatz Trajectory (75 steps to reach 1)

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

1,455,714 727,857 2,183,572 1,091,786 545,893 1,637,680 818,840 409,420 204,710 102,355 307,066 153,533 460,600 230,300 115,150 57,575 172,726 86,363 259,090 129,545 388,636 194,318 97,159 291,478 145,739 437,218 218,609 655,828 327,914 163,957 491,872 245,936 122,968 61,484 30,742 15,371 46,114 23,057 69,172 34,586 17,293 51,880 25,940 12,970 6,485 19,456 9,728 4,864 2,432 1,216 608 304 152 76 38 19 58 29 88 44

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