3,525,735

3 × 5 × 19 × 89 × 139

Starting at 3,525,735, the Collatz iteration reaches 1 after 203 steps. The first transition is 10577206; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 89 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,048,000

Proper Divisor Sum 2,522,265

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3525727 ← → #3525761

Radix Representation

Decimal	3525735
Binary	1101011100110001100111 (22 bits)
Octal	0o15346147
Hexadecimal	0x35CC67

Divisor Catalog (32)

1 3 5 15 19 57 89 95 139 267 285 417 445 695 1,335 1,691 2,085 2,641 5,073 7,923 8,455 12,371 13,205 25,365 37,113 39,615 61,855 185,565 235,049 705,147 1,175,245 3,525,735

Collatz Trajectory (203 steps to reach 1)

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

3,525,735 10,577,206 5,288,603 15,865,810 7,932,905 23,798,716 11,899,358 5,949,679 17,849,038 8,924,519 26,773,558 13,386,779 40,160,338 20,080,169 60,240,508 30,120,254 15,060,127 45,180,382 22,590,191 67,770,574 33,885,287 101,655,862 50,827,931 152,483,794 76,241,897 228,725,692 114,362,846 57,181,423 171,544,270 85,772,135 257,316,406 128,658,203 385,974,610 192,987,305 578,961,916 289,480,958 144,740,479 434,221,438 217,110,719 651,332,158 325,666,079 976,998,238 488,499,119 1,465,497,358 732,748,679 2,198,246,038 1,099,123,019 3,297,369,058 1,648,684,529 4,946,053,588 2,473,026,794 1,236,513,397 3,709,540,192 1,854,770,096 927,385,048 463,692,524 231,846,262 115,923,131 347,769,394 173,884,697

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