λ
Sequence Observatory

1,551,114

2 × 32 × 17 × 37 × 137
Abundant Even Composite

Starting at 1,551,114, the Collatz iteration reaches 1 after 207 steps. The first transition is 775557; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 37 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,681,288
Proper Divisor Sum 2,130,174
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1551113 ← → #1551133

Radix Representation

Decimal 1551114
Binary 101111010101100001010 (21 bits)
Octal 0o5725412
Hexadecimal 0x17AB0A

Divisor Catalog (48)

1 2 3 6 9 17 18 34 37 51 74 102 111 137 153 222 274 306 333 411 629 666 822 1,233 1,258 1,887 2,329 2,466 3,774 4,658 5,069 5,661 6,987 10,138 11,322 13,974 15,207 20,961 30,414 41,922 45,621 86,173 91,242 172,346 258,519 517,038 775,557 1,551,114

Collatz Trajectory (207 steps to reach 1)

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

1,551,114 775,557 2,326,672 1,163,336 581,668 290,834 145,417 436,252 218,126 109,063 327,190 163,595 490,786 245,393 736,180 368,090 184,045 552,136 276,068 138,034 69,017 207,052 103,526 51,763 155,290 77,645 232,936 116,468 58,234 29,117 87,352 43,676 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282 27,641 82,924 41,462 20,731 62,194 31,097 93,292 46,646 23,323 69,970 34,985 104,956 52,478 26,239 78,718 39,359 118,078 59,039

More profiles

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