λ
Sequence Observatory

5,672,535

3 × 5 × 11 × 31 × 1109
Deficient Odd Composite

Starting at 5,672,535, the Collatz iteration reaches 1 after 108 steps. The first transition is 17017606; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 31 × 1109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,229,760
Proper Divisor Sum 4,557,225
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5672533 ← → #5672539

Radix Representation

Decimal 5672535
Binary 10101101000111001010111 (23 bits)
Octal 0o25507127
Hexadecimal 0x568E57

Divisor Catalog (32)

1 3 5 11 15 31 33 55 93 155 165 341 465 1,023 1,109 1,705 3,327 5,115 5,545 12,199 16,635 34,379 36,597 60,995 103,137 171,895 182,985 378,169 515,685 1,134,507 1,890,845 5,672,535

Collatz Trajectory (108 steps to reach 1)

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

5,672,535 17,017,606 8,508,803 25,526,410 12,763,205 38,289,616 19,144,808 9,572,404 4,786,202 2,393,101 7,179,304 3,589,652 1,794,826 897,413 2,692,240 1,346,120 673,060 336,530 168,265 504,796 252,398 126,199 378,598 189,299 567,898 283,949 851,848 425,924 212,962 106,481 319,444 159,722 79,861 239,584 119,792 59,896 29,948 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984

More profiles

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