471,328

2⁵ × 11 × 13 × 103

Starting at 471,328, the Collatz iteration reaches 1 after 76 steps. The first transition is 235664; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 11 × 13 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,100,736

Proper Divisor Sum 629,408

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #471313 ← → #471353

Radix Representation

Decimal	471328
Binary	1110011000100100000 (19 bits)
Octal	0o1630440
Hexadecimal	0x73120

Divisor Catalog (48)

1 2 4 8 11 13 16 22 26 32 44 52 88 103 104 143 176 206 208 286 352 412 416 572 824 1,133 1,144 1,339 1,648 2,266 2,288 2,678 3,296 4,532 4,576 5,356 9,064 10,712 14,729 18,128 21,424 29,458 36,256 42,848 58,916 117,832 235,664 471,328

Collatz Trajectory (76 steps to reach 1)

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

471,328 235,664 117,832 58,916 29,458 14,729 44,188 22,094 11,047 33,142 16,571 49,714 24,857 74,572 37,286 18,643 55,930 27,965 83,896 41,948 20,974 10,487 31,462 15,731 47,194 23,597 70,792 35,396 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14

← Previous Integer #471,327 Browse Full Index Next Integer #471,329 →