3,134,100

2² × 3 × 5² × 31 × 337

3,134,100 factors as 2^2 × 3 × 5^2 × 31 × 337. Its 72 positive divisors give a proper-divisor sum of 6,254,188, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 31 × 337

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,388,288

Proper Divisor Sum 6,254,188

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #3134093 ← → #3134113

Radix Representation

Decimal	3134100
Binary	1011111101001010010100 (22 bits)
Octal	0o13751224
Hexadecimal	0x2FD294

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 337 372 465 620 674 775 930 1,011 1,348 1,550 1,685 1,860 2,022 2,325 3,100 3,370 4,044 4,650 5,055 6,740 8,425 9,300 10,110 10,447 16,850 20,220 20,894 25,275 31,341 33,700 41,788 50,550 52,235 62,682 101,100

Collatz Trajectory (133 steps to reach 1)

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

3,134,100 1,567,050 783,525 2,350,576 1,175,288 587,644 293,822 146,911 440,734 220,367 661,102 330,551 991,654 495,827 1,487,482 743,741 2,231,224 1,115,612 557,806 278,903 836,710 418,355 1,255,066 627,533 1,882,600 941,300 470,650 235,325 705,976 352,988 176,494 88,247 264,742 132,371 397,114 198,557 595,672 297,836 148,918 74,459 223,378 111,689 335,068 167,534 83,767 251,302 125,651 376,954 188,477 565,432 282,716 141,358 70,679 212,038 106,019 318,058 159,029 477,088 238,544 119,272

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