λ
Sequence Observatory

5,187,759

3 × 1729253
Deficient Odd Composite

Starting at 5,187,759, the Collatz iteration reaches 1 after 206 steps. The first transition is 15563278; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 1729253
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,917,016
Proper Divisor Sum 1,729,257
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5187739 ← → #5187761

Radix Representation

Decimal 5187759
Binary 10011110010100010101111 (23 bits)
Octal 0o23624257
Hexadecimal 0x4F28AF

Divisor Catalog (4)

1 3 1,729,253 5,187,759

Collatz Trajectory (206 steps to reach 1)

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

5,187,759 15,563,278 7,781,639 23,344,918 11,672,459 35,017,378 17,508,689 52,526,068 26,263,034 13,131,517 39,394,552 19,697,276 9,848,638 4,924,319 14,772,958 7,386,479 22,159,438 11,079,719 33,239,158 16,619,579 49,858,738 24,929,369 74,788,108 37,394,054 18,697,027 56,091,082 28,045,541 84,136,624 42,068,312 21,034,156 10,517,078 5,258,539 15,775,618 7,887,809 23,663,428 11,831,714 5,915,857 17,747,572 8,873,786 4,436,893 13,310,680 6,655,340 3,327,670 1,663,835 4,991,506 2,495,753 7,487,260 3,743,630 1,871,815 5,615,446 2,807,723 8,423,170 4,211,585 12,634,756 6,317,378 3,158,689 9,476,068 4,738,034 2,369,017 7,107,052

More profiles

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