3,500,140

2² × 5 × 7 × 23 × 1087

Starting at 3,500,140, the Collatz iteration reaches 1 after 128 steps. The first transition is 1750070; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 23 × 1087

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,773,632

Proper Divisor Sum 5,273,492

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #3500111 ← → #3500149

Radix Representation

Decimal	3500140
Binary	1101010110100001101100 (22 bits)
Octal	0o15264154
Hexadecimal	0x35686C

Divisor Catalog (48)

1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1,087 1,610 2,174 3,220 4,348 5,435 7,609 10,870 15,218 21,740 25,001 30,436 38,045 50,002 76,090 100,004 125,005 152,180 175,007 250,010 350,014 500,020 700,028 875,035 1,750,070 3,500,140

Collatz Trajectory (128 steps to reach 1)

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

3,500,140 1,750,070 875,035 2,625,106 1,312,553 3,937,660 1,968,830 984,415 2,953,246 1,476,623 4,429,870 2,214,935 6,644,806 3,322,403 9,967,210 4,983,605 14,950,816 7,475,408 3,737,704 1,868,852 934,426 467,213 1,401,640 700,820 350,410 175,205 525,616 262,808 131,404 65,702 32,851 98,554 49,277 147,832 73,916 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202

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