5,416,627

701 × 7727

Starting at 5,416,627, the Collatz iteration reaches 1 after 95 steps. The first transition is 16249882; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 701 × 7727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 5,425,056

Proper Divisor Sum 8,429

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #5416603 ← → #5416639

Radix Representation

Decimal	5416627
Binary	10100101010011010110011 (23 bits)
Octal	0o24523263
Hexadecimal	0x52A6B3

Divisor Catalog (4)

1 701 7,727 5,416,627

Collatz Trajectory (95 steps to reach 1)

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

5,416,627 16,249,882 8,124,941 24,374,824 12,187,412 6,093,706 3,046,853 9,140,560 4,570,280 2,285,140 1,142,570 571,285 1,713,856 856,928 428,464 214,232 107,116 53,558 26,779 80,338 40,169 120,508 60,254 30,127 90,382 45,191 135,574 67,787 203,362 101,681 305,044 152,522 76,261 228,784 114,392 57,196 28,598 14,299 42,898 21,449 64,348 32,174 16,087 48,262 24,131 72,394 36,197 108,592 54,296 27,148 13,574 6,787 20,362 10,181 30,544 15,272 7,636 3,818 1,909 5,728

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