λ
Sequence Observatory

2,319,045

3 × 5 × 19 × 79 × 103
Deficient Odd Composite

Starting at 2,319,045, the Collatz iteration reaches 1 after 161 steps. The first transition is 6957136; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 79 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,993,600
Proper Divisor Sum 1,674,555
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2319041 ← → #2319059

Radix Representation

Decimal 2319045
Binary 1000110110001011000101 (22 bits)
Octal 0o10661305
Hexadecimal 0x2362C5

Divisor Catalog (32)

1 3 5 15 19 57 79 95 103 237 285 309 395 515 1,185 1,501 1,545 1,957 4,503 5,871 7,505 8,137 9,785 22,515 24,411 29,355 40,685 122,055 154,603 463,809 773,015 2,319,045

Collatz Trajectory (161 steps to reach 1)

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

2,319,045 6,957,136 3,478,568 1,739,284 869,642 434,821 1,304,464 652,232 326,116 163,058 81,529 244,588 122,294 61,147 183,442 91,721 275,164 137,582 68,791 206,374 103,187 309,562 154,781 464,344 232,172 116,086 58,043 174,130 87,065 261,196 130,598 65,299 195,898 97,949 293,848 146,924 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904 78,452 39,226 19,613 58,840 29,420 14,710

More profiles

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