9,271,904

2⁵ × 37 × 41 × 191

Starting at 9,271,904, the Collatz iteration reaches 1 after 207 steps. The first transition is 4635952; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 37 × 41 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,305,216

Proper Divisor Sum 10,033,312

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #9271903 ← → #9271907

Radix Representation

Decimal	9271904
Binary	100011010111101001100000 (24 bits)
Octal	0o43275140
Hexadecimal	0x8D7A60

Divisor Catalog (48)

1 2 4 8 16 32 37 41 74 82 148 164 191 296 328 382 592 656 764 1,184 1,312 1,517 1,528 3,034 3,056 6,068 6,112 7,067 7,831 12,136 14,134 15,662 24,272 28,268 31,324 48,544 56,536 62,648 113,072 125,296 226,144 250,592 289,747 579,494 1,158,988 2,317,976 4,635,952 9,271,904

Collatz Trajectory (207 steps to reach 1)

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

9,271,904 4,635,952 2,317,976 1,158,988 579,494 289,747 869,242 434,621 1,303,864 651,932 325,966 162,983 488,950 244,475 733,426 366,713 1,100,140 550,070 275,035 825,106 412,553 1,237,660 618,830 309,415 928,246 464,123 1,392,370 696,185 2,088,556 1,044,278 522,139 1,566,418 783,209 2,349,628 1,174,814 587,407 1,762,222 881,111 2,643,334 1,321,667 3,965,002 1,982,501 5,947,504 2,973,752 1,486,876 743,438 371,719 1,115,158 557,579 1,672,738 836,369 2,509,108 1,254,554 627,277 1,881,832 940,916 470,458 235,229 705,688 352,844

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