543,151

7 × 31 × 2503

Starting at 543,151, the Collatz iteration reaches 1 after 164 steps. The first transition is 1629454; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 31 × 2503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 641,024

Proper Divisor Sum 97,873

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #543149 ← → #543157

Radix Representation

Decimal	543151
Binary	10000100100110101111 (20 bits)
Octal	0o2044657
Hexadecimal	0x849AF

Divisor Catalog (8)

1 7 31 217 2,503 17,521 77,593 543,151

Collatz Trajectory (164 steps to reach 1)

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

543,151 1,629,454 814,727 2,444,182 1,222,091 3,666,274 1,833,137 5,499,412 2,749,706 1,374,853 4,124,560 2,062,280 1,031,140 515,570 257,785 773,356 386,678 193,339 580,018 290,009 870,028 435,014 217,507 652,522 326,261 978,784 489,392 244,696 122,348 61,174 30,587 91,762 45,881 137,644 68,822 34,411 103,234 51,617 154,852 77,426 38,713 116,140 58,070 29,035 87,106 43,553 130,660 65,330 32,665 97,996 48,998 24,499 73,498 36,749 110,248 55,124 27,562 13,781 41,344 20,672

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