3,043,521

3³ × 13² × 23 × 29

Starting at 3,043,521, the Collatz iteration reaches 1 after 107 steps. The first transition is 9130564; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 13^2 × 23 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 5,270,400

Proper Divisor Sum 2,226,879

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3043507 ← → #3043529

Radix Representation

Decimal	3043521
Binary	1011100111000011000001 (22 bits)
Octal	0o13470301
Hexadecimal	0x2E70C1

Divisor Catalog (48)

1 3 9 13 23 27 29 39 69 87 117 169 207 261 299 351 377 507 621 667 783 897 1,131 1,521 2,001 2,691 3,393 3,887 4,563 4,901 6,003 8,073 8,671 10,179 11,661 14,703 18,009 26,013 34,983 44,109 78,039 104,949 112,723 132,327 234,117 338,169 1,014,507 3,043,521

Collatz Trajectory (107 steps to reach 1)

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

3,043,521 9,130,564 4,565,282 2,282,641 6,847,924 3,423,962 1,711,981 5,135,944 2,567,972 1,283,986 641,993 1,925,980 962,990 481,495 1,444,486 722,243 2,166,730 1,083,365 3,250,096 1,625,048 812,524 406,262 203,131 609,394 304,697 914,092 457,046 228,523 685,570 342,785 1,028,356 514,178 257,089 771,268 385,634 192,817 578,452 289,226 144,613 433,840 216,920 108,460 54,230 27,115 81,346 40,673 122,020 61,010 30,505 91,516 45,758 22,879 68,638 34,319 102,958 51,479 154,438 77,219 231,658 115,829

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