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Atlas › Integer Profiles › Node 5,402,004

5,402,004

22 × 3 × 192 × 29 × 43
Abundant Even Composite

5,402,004 factors as 2^2 × 3 × 19^2 × 29 × 43. Its 72 positive divisors give a proper-divisor sum of 8,679,756, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 19^2 × 29 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 14,081,760
Proper Divisor Sum 8,679,756
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #5402003 ← → #5402011

Radix Representation

Decimal 5402004
Binary 10100100110110110010100 (23 bits)
Octal 0o24466624
Hexadecimal 0x526D94

Divisor Catalog (60 of 72)

1 2 3 4 6 12 19 29 38 43 57 58 76 86 87 114 116 129 172 174 228 258 348 361 516 551 722 817 1,083 1,102 1,247 1,444 1,634 1,653 2,166 2,204 2,451 2,494 3,268 3,306 3,741 4,332 4,902 4,988 6,612 7,482 9,804 10,469 14,964 15,523 20,938 23,693 31,046 31,407 41,876 46,569 47,386 62,092 62,814 71,079

Collatz Trajectory (87 steps to reach 1)

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

5,402,004 2,701,002 1,350,501 4,051,504 2,025,752 1,012,876 506,438 253,219 759,658 379,829 1,139,488 569,744 284,872 142,436 71,218 35,609 106,828 53,414 26,707 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722

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