5,484,129

3 × 7² × 37307

5,484,129 factors as 3 × 7^2 × 37307. Its 12 positive divisors give a proper-divisor sum of 3,022,095, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 37307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,506,224

Proper Divisor Sum 3,022,095

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #5484079 ← → #5484131

Radix Representation

Decimal	5484129
Binary	10100111010111001100001 (23 bits)
Octal	0o24727141
Hexadecimal	0x53AE61

Divisor Catalog (12)

1 3 7 21 49 147 37,307 111,921 261,149 783,447 1,828,043 5,484,129

Collatz Trajectory (108 steps to reach 1)

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

5,484,129 16,452,388 8,226,194 4,113,097 12,339,292 6,169,646 3,084,823 9,254,470 4,627,235 13,881,706 6,940,853 20,822,560 10,411,280 5,205,640 2,602,820 1,301,410 650,705 1,952,116 976,058 488,029 1,464,088 732,044 366,022 183,011 549,034 274,517 823,552 411,776 205,888 102,944 51,472 25,736 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812

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