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Atlas › Integer Profiles › Node 24,379,840

24,379,840

26 × 5 × 47 × 1621
Abundant Even Composite

24,379,840 factors as 2^6 × 5 × 47 × 1621. Its 56 positive divisors give a proper-divisor sum of 34,946,432, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 47 × 1621
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 59,326,272
Proper Divisor Sum 34,946,432
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #24379811 ← → #24379847

Radix Representation

Decimal 24379840
Binary 1011101000000000111000000 (25 bits)
Octal 0o135000700
Hexadecimal 0x17401C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 188 235 320 376 470 752 940 1,504 1,621 1,880 3,008 3,242 3,760 6,484 7,520 8,105 12,968 15,040 16,210 25,936 32,420 51,872 64,840 76,187 103,744 129,680 152,374 259,360 304,748 380,935 518,720 609,496 761,870 1,218,992 1,523,740 2,437,984 3,047,480 4,875,968 6,094,960 12,189,920 24,379,840

Collatz Trajectory (84 steps to reach 1)

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

24,379,840 12,189,920 6,094,960 3,047,480 1,523,740 761,870 380,935 1,142,806 571,403 1,714,210 857,105 2,571,316 1,285,658 642,829 1,928,488 964,244 482,122 241,061 723,184 361,592 180,796 90,398 45,199 135,598 67,799 203,398 101,699 305,098 152,549 457,648 228,824 114,412 57,206 28,603 85,810 42,905 128,716 64,358 32,179 96,538 48,269 144,808 72,404 36,202 18,101 54,304 27,152 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300

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