λ
Sequence Observatory

1,536,740

22 × 5 × 76837
Abundant Even Composite

Starting at 1,536,740, the Collatz iteration reaches 1 after 194 steps. The first transition is 768370; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 76837
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,227,196
Proper Divisor Sum 1,690,456
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1536737 ← → #1536781

Radix Representation

Decimal 1536740
Binary 101110111001011100100 (21 bits)
Octal 0o5671344
Hexadecimal 0x1772E4

Divisor Catalog (12)

1 2 4 5 10 20 76,837 153,674 307,348 384,185 768,370 1,536,740

Collatz Trajectory (194 steps to reach 1)

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

1,536,740 768,370 384,185 1,152,556 576,278 288,139 864,418 432,209 1,296,628 648,314 324,157 972,472 486,236 243,118 121,559 364,678 182,339 547,018 273,509 820,528 410,264 205,132 102,566 51,283 153,850 76,925 230,776 115,388 57,694 28,847 86,542 43,271 129,814 64,907 194,722 97,361 292,084 146,042 73,021 219,064 109,532 54,766 27,383 82,150 41,075 123,226 61,613 184,840 92,420 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748

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