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Atlas › Integer Profiles › Node 4,980,261

4,980,261

3 × 11 × 132 × 19 × 47
Deficient Odd Composite

4,980,261 factors as 3 × 11 × 13^2 × 19 × 47. Its 48 positive divisors give a proper-divisor sum of 3,452,379, so this integer is deficient. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 3 × 11 × 13^2 × 19 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,432,640
Proper Divisor Sum 3,452,379
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4980253 ← → #4980281

Radix Representation

Decimal 4980261
Binary 10010111111111000100101 (23 bits)
Octal 0o22777045
Hexadecimal 0x4BFE25

Divisor Catalog (48)

1 3 11 13 19 33 39 47 57 141 143 169 209 247 429 507 517 611 627 741 893 1,551 1,833 1,859 2,679 2,717 3,211 5,577 6,721 7,943 8,151 9,633 9,823 11,609 20,163 23,829 29,469 34,827 35,321 87,373 105,963 127,699 150,917 262,119 383,097 452,751 1,660,087 4,980,261

Collatz Trajectory (250 steps to reach 1)

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

4,980,261 14,940,784 7,470,392 3,735,196 1,867,598 933,799 2,801,398 1,400,699 4,202,098 2,101,049 6,303,148 3,151,574 1,575,787 4,727,362 2,363,681 7,091,044 3,545,522 1,772,761 5,318,284 2,659,142 1,329,571 3,988,714 1,994,357 5,983,072 2,991,536 1,495,768 747,884 373,942 186,971 560,914 280,457 841,372 420,686 210,343 631,030 315,515 946,546 473,273 1,419,820 709,910 354,955 1,064,866 532,433 1,597,300 798,650 399,325 1,197,976 598,988 299,494 149,747 449,242 224,621 673,864 336,932 168,466 84,233 252,700 126,350 63,175 189,526

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