7,421,100

2² × 3 × 5² × 29 × 853

Starting at 7,421,100, the Collatz iteration reaches 1 after 173 steps. The first transition is 3710550; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 29 × 853

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 22,238,160

Proper Divisor Sum 14,817,060

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #7421093 ← → #7421101

Radix Representation

Decimal	7421100
Binary	11100010011110010101100 (23 bits)
Octal	0o34236254
Hexadecimal	0x713CAC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 853 870 1,450 1,706 1,740 2,175 2,559 2,900 3,412 4,265 4,350 5,118 8,530 8,700 10,236 12,795 17,060 21,325 24,737 25,590 42,650 49,474 51,180 63,975 74,211 85,300 98,948 123,685 127,950 148,422 247,370

Collatz Trajectory (173 steps to reach 1)

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

7,421,100 3,710,550 1,855,275 5,565,826 2,782,913 8,348,740 4,174,370 2,087,185 6,261,556 3,130,778 1,565,389 4,696,168 2,348,084 1,174,042 587,021 1,761,064 880,532 440,266 220,133 660,400 330,200 165,100 82,550 41,275 123,826 61,913 185,740 92,870 46,435 139,306 69,653 208,960 104,480 52,240 26,120 13,060 6,530 3,265 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220

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