5,156,476

2² × 13 × 53 × 1871

Starting at 5,156,476, the Collatz iteration reaches 1 after 126 steps. The first transition is 2578238; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 53 × 1871

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,906,624

Proper Divisor Sum 4,750,148

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5156471 ← → #5156477

Radix Representation

Decimal	5156476
Binary	10011101010111001111100 (23 bits)
Octal	0o23527174
Hexadecimal	0x4EAE7C

Divisor Catalog (24)

1 2 4 13 26 52 53 106 212 689 1,378 1,871 2,756 3,742 7,484 24,323 48,646 97,292 99,163 198,326 396,652 1,289,119 2,578,238 5,156,476

Collatz Trajectory (126 steps to reach 1)

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

5,156,476 2,578,238 1,289,119 3,867,358 1,933,679 5,801,038 2,900,519 8,701,558 4,350,779 13,052,338 6,526,169 19,578,508 9,789,254 4,894,627 14,683,882 7,341,941 22,025,824 11,012,912 5,506,456 2,753,228 1,376,614 688,307 2,064,922 1,032,461 3,097,384 1,548,692 774,346 387,173 1,161,520 580,760 290,380 145,190 72,595 217,786 108,893 326,680 163,340 81,670 40,835 122,506 61,253 183,760 91,880 45,940 22,970 11,485 34,456 17,228 8,614 4,307 12,922 6,461 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453

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