4,854,993

3 × 11 × 13 × 11317

Starting at 4,854,993, the Collatz iteration reaches 1 after 162 steps. The first transition is 14564980; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 13 × 11317

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,605,696

Proper Divisor Sum 2,750,703

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4854989 ← → #4855007

Radix Representation

Decimal	4854993
Binary	10010100001010011010001 (23 bits)
Octal	0o22412321
Hexadecimal	0x4A14D1

Divisor Catalog (16)

1 3 11 13 33 39 143 429 11,317 33,951 124,487 147,121 373,461 441,363 1,618,331 4,854,993

Collatz Trajectory (162 steps to reach 1)

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

4,854,993 14,564,980 7,282,490 3,641,245 10,923,736 5,461,868 2,730,934 1,365,467 4,096,402 2,048,201 6,144,604 3,072,302 1,536,151 4,608,454 2,304,227 6,912,682 3,456,341 10,369,024 5,184,512 2,592,256 1,296,128 648,064 324,032 162,016 81,008 40,504 20,252 10,126 5,063 15,190 7,595 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856

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