5,266,539

3⁵ × 21673

Starting at 5,266,539, the Collatz iteration reaches 1 after 126 steps. The first transition is 15799618; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^5 × 21673

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,889,336

Proper Divisor Sum 2,622,797

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5266537 ← → #5266577

Radix Representation

Decimal	5266539
Binary	10100000101110001101011 (23 bits)
Octal	0o24056153
Hexadecimal	0x505C6B

Divisor Catalog (12)

1 3 9 27 81 243 21,673 65,019 195,057 585,171 1,755,513 5,266,539

Collatz Trajectory (126 steps to reach 1)

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

5,266,539 15,799,618 7,899,809 23,699,428 11,849,714 5,924,857 17,774,572 8,887,286 4,443,643 13,330,930 6,665,465 19,996,396 9,998,198 4,999,099 14,997,298 7,498,649 22,495,948 11,247,974 5,623,987 16,871,962 8,435,981 25,307,944 12,653,972 6,326,986 3,163,493 9,490,480 4,745,240 2,372,620 1,186,310 593,155 1,779,466 889,733 2,669,200 1,334,600 667,300 333,650 166,825 500,476 250,238 125,119 375,358 187,679 563,038 281,519 844,558 422,279 1,266,838 633,419 1,900,258 950,129 2,850,388 1,425,194 712,597 2,137,792 1,068,896 534,448 267,224 133,612 66,806 33,403

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