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Atlas › Integer Profiles › Node 4,368,980

4,368,980

22 × 5 × 7 × 11 × 2837
Abundant Even Composite

4,368,980 factors as 2^2 × 5 × 7 × 11 × 2837. Its 48 positive divisors give a proper-divisor sum of 7,073,836, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 2837
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,442,816
Proper Divisor Sum 7,073,836
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4368971 ← → #4368989

Radix Representation

Decimal 4368980
Binary 10000101010101001010100 (23 bits)
Octal 0o20525124
Hexadecimal 0x42AA54

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 2,837 5,674 11,348 14,185 19,859 28,370 31,207 39,718 56,740 62,414 79,436 99,295 124,828 156,035 198,590 218,449 312,070 397,180 436,898 624,140 873,796 1,092,245 2,184,490 4,368,980

Collatz Trajectory (136 steps to reach 1)

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

4,368,980 2,184,490 1,092,245 3,276,736 1,638,368 819,184 409,592 204,796 102,398 51,199 153,598 76,799 230,398 115,199 345,598 172,799 518,398 259,199 777,598 388,799 1,166,398 583,199 1,749,598 874,799 2,624,398 1,312,199 3,936,598 1,968,299 5,904,898 2,952,449 8,857,348 4,428,674 2,214,337 6,643,012 3,321,506 1,660,753 4,982,260 2,491,130 1,245,565 3,736,696 1,868,348 934,174 467,087 1,401,262 700,631 2,101,894 1,050,947 3,152,842 1,576,421 4,729,264 2,364,632 1,182,316 591,158 295,579 886,738 443,369 1,330,108 665,054 332,527 997,582

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