3,510,405

3³ × 5 × 26003

Starting at 3,510,405, the Collatz iteration reaches 1 after 133 steps. The first transition is 10531216; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 26003

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,240,960

Proper Divisor Sum 2,730,555

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3510401 ← → #3510413

Radix Representation

Decimal	3510405
Binary	1101011001000010000101 (22 bits)
Octal	0o15310205
Hexadecimal	0x359085

Divisor Catalog (16)

1 3 5 9 15 27 45 135 26,003 78,009 130,015 234,027 390,045 702,081 1,170,135 3,510,405

Collatz Trajectory (133 steps to reach 1)

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

3,510,405 10,531,216 5,265,608 2,632,804 1,316,402 658,201 1,974,604 987,302 493,651 1,480,954 740,477 2,221,432 1,110,716 555,358 277,679 833,038 416,519 1,249,558 624,779 1,874,338 937,169 2,811,508 1,405,754 702,877 2,108,632 1,054,316 527,158 263,579 790,738 395,369 1,186,108 593,054 296,527 889,582 444,791 1,334,374 667,187 2,001,562 1,000,781 3,002,344 1,501,172 750,586 375,293 1,125,880 562,940 281,470 140,735 422,206 211,103 633,310 316,655 949,966 474,983 1,424,950 712,475 2,137,426 1,068,713 3,206,140 1,603,070 801,535

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