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Atlas › Integer Profiles › Node 4,523,740

4,523,740

22 × 5 × 13 × 127 × 137
Abundant Even Composite

4,523,740 factors as 2^2 × 5 × 13 × 127 × 137. Its 48 positive divisors give a proper-divisor sum of 5,862,692, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 127 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,386,432
Proper Divisor Sum 5,862,692
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4523719 ← → #4523747

Radix Representation

Decimal 4523740
Binary 10001010000011011011100 (23 bits)
Octal 0o21203334
Hexadecimal 0x4506DC

Divisor Catalog (48)

1 2 4 5 10 13 20 26 52 65 127 130 137 254 260 274 508 548 635 685 1,270 1,370 1,651 1,781 2,540 2,740 3,302 3,562 6,604 7,124 8,255 8,905 16,510 17,399 17,810 33,020 34,798 35,620 69,596 86,995 173,990 226,187 347,980 452,374 904,748 1,130,935 2,261,870 4,523,740

Collatz Trajectory (180 steps to reach 1)

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

4,523,740 2,261,870 1,130,935 3,392,806 1,696,403 5,089,210 2,544,605 7,633,816 3,816,908 1,908,454 954,227 2,862,682 1,431,341 4,294,024 2,147,012 1,073,506 536,753 1,610,260 805,130 402,565 1,207,696 603,848 301,924 150,962 75,481 226,444 113,222 56,611 169,834 84,917 254,752 127,376 63,688 31,844 15,922 7,961 23,884 11,942 5,971 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784

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