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Atlas › Integer Profiles › Node 49,277,920

49,277,920

25 × 5 × 73 × 4219
Abundant Even Composite

49,277,920 factors as 2^5 × 5 × 73 × 4219. Its 48 positive divisors give a proper-divisor sum of 68,763,920, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 73 × 4219
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 118,041,840
Proper Divisor Sum 68,763,920
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #49277911 ← → #49277927

Radix Representation

Decimal 49277920
Binary 10111011111110101111100000 (26 bits)
Octal 0o273765740
Hexadecimal 0x2EFEBE0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1,168 1,460 2,336 2,920 4,219 5,840 8,438 11,680 16,876 21,095 33,752 42,190 67,504 84,380 135,008 168,760 307,987 337,520 615,974 675,040 1,231,948 1,539,935 2,463,896 3,079,870 4,927,792 6,159,740 9,855,584 12,319,480 24,638,960 49,277,920

Collatz Trajectory (137 steps to reach 1)

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

49,277,920 24,638,960 12,319,480 6,159,740 3,079,870 1,539,935 4,619,806 2,309,903 6,929,710 3,464,855 10,394,566 5,197,283 15,591,850 7,795,925 23,387,776 11,693,888 5,846,944 2,923,472 1,461,736 730,868 365,434 182,717 548,152 274,076 137,038 68,519 205,558 102,779 308,338 154,169 462,508 231,254 115,627 346,882 173,441 520,324 260,162 130,081 390,244 195,122 97,561 292,684 146,342 73,171 219,514 109,757 329,272 164,636 82,318 41,159 123,478 61,739 185,218 92,609 277,828 138,914 69,457 208,372 104,186 52,093

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