58,168

2³ × 11 × 661

Starting at 58,168, the Collatz iteration reaches 1 after 166 steps. The first transition is 29084; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 661

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 119,160

Proper Divisor Sum 60,992

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #58153 ← → #58169

Radix Representation

Decimal	58168
Binary	1110001100111000 (16 bits)
Octal	0o161470
Hexadecimal	0xE338

Divisor Catalog (16)

1 2 4 8 11 22 44 88 661 1,322 2,644 5,288 7,271 14,542 29,084 58,168

Collatz Trajectory (166 steps to reach 1)

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

58,168 29,084 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376

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