5,146,519

7² × 105031

Starting at 5,146,519, the Collatz iteration reaches 1 after 100 steps. The first transition is 15439558; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 105031

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,986,824

Proper Divisor Sum 840,305

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5146517 ← → #5146523

Radix Representation

Decimal	5146519
Binary	10011101000011110010111 (23 bits)
Octal	0o23503627
Hexadecimal	0x4E8797

Divisor Catalog (6)

1 7 49 105,031 735,217 5,146,519

Collatz Trajectory (100 steps to reach 1)

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

5,146,519 15,439,558 7,719,779 23,159,338 11,579,669 34,739,008 17,369,504 8,684,752 4,342,376 2,171,188 1,085,594 542,797 1,628,392 814,196 407,098 203,549 610,648 305,324 152,662 76,331 228,994 114,497 343,492 171,746 85,873 257,620 128,810 64,405 193,216 96,608 48,304 24,152 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911

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