λ
Integer Codex

5,424,200

23 × 52 × 37 × 733
Abundant Even Composite

For 5,424,200, the 48 positive divisors have a total of 12,969,780. Removing 5,424,200 leaves 7,545,580, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 37 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,969,780
Proper Divisor Sum 7,545,580
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #5424161 ← → #5424203

Radix Representation

Decimal 5424200
Binary 10100101100010001001000 (23 bits)
Octal 0o24542110
Hexadecimal 0x52C448

Divisor Catalog (48)

1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 733 740 925 1,466 1,480 1,850 2,932 3,665 3,700 5,864 7,330 7,400 14,660 18,325 27,121 29,320 36,650 54,242 73,300 108,484 135,605 146,600 216,968 271,210 542,420 678,025 1,084,840 1,356,050 2,712,100 5,424,200

Collatz Trajectory (113 steps to reach 1)

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

5,424,200 2,712,100 1,356,050 678,025 2,034,076 1,017,038 508,519 1,525,558 762,779 2,288,338 1,144,169 3,432,508 1,716,254 858,127 2,574,382 1,287,191 3,861,574 1,930,787 5,792,362 2,896,181 8,688,544 4,344,272 2,172,136 1,086,068 543,034 271,517 814,552 407,276 203,638 101,819 305,458 152,729 458,188 229,094 114,547 343,642 171,821 515,464 257,732 128,866 64,433 193,300 96,650 48,325 144,976 72,488 36,244 18,122 9,061 27,184 13,592 6,796 3,398 1,699 5,098 2,549 7,648 3,824 1,912 956

More profiles

← Previous Integer #5,424,199 Browse Full Index Next Integer #5,424,201 →