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Atlas › Integer Profiles › Node 2,374,400

2,374,400

28 × 52 × 7 × 53
Abundant Even Composite

2,374,400 factors as 2^8 × 5^2 × 7 × 53. Its 108 positive divisors give a proper-divisor sum of 4,468,912, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^8 × 5^2 × 7 × 53
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 6,843,312
Proper Divisor Sum 4,468,912
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2374399 ← → #2374429

Radix Representation

Decimal 2374400
Binary 1001000011101100000000 (22 bits)
Octal 0o11035400
Hexadecimal 0x243B00

Divisor Catalog (60 of 108)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 53 56 64 70 80 100 106 112 128 140 160 175 200 212 224 256 265 280 320 350 371 400 424 448 530 560 640 700 742 800 848 896 1,060 1,120 1,280 1,325 1,400 1,484 1,600 1,696 1,792 1,855 2,120 2,240

Collatz Trajectory (161 steps to reach 1)

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

2,374,400 1,187,200 593,600 296,800 148,400 74,200 37,100 18,550 9,275 27,826 13,913 41,740 20,870 10,435 31,306 15,653 46,960 23,480 11,740 5,870 2,935 8,806 4,403 13,210 6,605 19,816 9,908 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71

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