5,277,207

3 × 13 × 47 × 2879

Starting at 5,277,207, the Collatz iteration reaches 1 after 100 steps. The first transition is 15831622; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 47 × 2879

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,741,440

Proper Divisor Sum 2,464,233

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5277197 ← → #5277211

Radix Representation

Decimal	5277207
Binary	10100001000011000010111 (23 bits)
Octal	0o24103027
Hexadecimal	0x508617

Divisor Catalog (16)

1 3 13 39 47 141 611 1,833 2,879 8,637 37,427 112,281 135,313 405,939 1,759,069 5,277,207

Collatz Trajectory (100 steps to reach 1)

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

5,277,207 15,831,622 7,915,811 23,747,434 11,873,717 35,621,152 17,810,576 8,905,288 4,452,644 2,226,322 1,113,161 3,339,484 1,669,742 834,871 2,504,614 1,252,307 3,756,922 1,878,461 5,635,384 2,817,692 1,408,846 704,423 2,113,270 1,056,635 3,169,906 1,584,953 4,754,860 2,377,430 1,188,715 3,566,146 1,783,073 5,349,220 2,674,610 1,337,305 4,011,916 2,005,958 1,002,979 3,008,938 1,504,469 4,513,408 2,256,704 1,128,352 564,176 282,088 141,044 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473

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