41,530,097

7⁶ × 353

41,530,097 factors as 7^6 × 353. Its 14 positive divisors give a proper-divisor sum of 7,058,881, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 7^6 × 353

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 48,588,978

Proper Divisor Sum 7,058,881

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #41530091 ← → #41530109

Radix Representation

Decimal	41530097
Binary	10011110011011001011110001 (26 bits)
Octal	0o236331361
Hexadecimal	0x279B2F1

Divisor Catalog (14)

1 7 49 343 353 2,401 2,471 16,807 17,297 117,649 121,079 847,553 5,932,871 41,530,097

Collatz Trajectory (209 steps to reach 1)

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

41,530,097 124,590,292 62,295,146 31,147,573 93,442,720 46,721,360 23,360,680 11,680,340 5,840,170 2,920,085 8,760,256 4,380,128 2,190,064 1,095,032 547,516 273,758 136,879 410,638 205,319 615,958 307,979 923,938 461,969 1,385,908 692,954 346,477 1,039,432 519,716 259,858 129,929 389,788 194,894 97,447 292,342 146,171 438,514 219,257 657,772 328,886 164,443 493,330 246,665 739,996 369,998 184,999 554,998 277,499 832,498 416,249 1,248,748 624,374 312,187 936,562 468,281 1,404,844 702,422 351,211 1,053,634 526,817 1,580,452

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