38,802,401

11² × 47 × 6823

38,802,401 factors as 11^2 × 47 × 6823. Its 12 positive divisors give a proper-divisor sum of 4,762,015, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 11^2 × 47 × 6823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 43,564,416

Proper Divisor Sum 4,762,015

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #38802371 ← → #38802409

Radix Representation

Decimal	38802401
Binary	10010100000001001111100001 (26 bits)
Octal	0o224011741
Hexadecimal	0x25013E1

Divisor Catalog (12)

1 11 47 121 517 5,687 6,823 75,053 320,681 825,583 3,527,491 38,802,401

Collatz Trajectory (209 steps to reach 1)

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

38,802,401 116,407,204 58,203,602 29,101,801 87,305,404 43,652,702 21,826,351 65,479,054 32,739,527 98,218,582 49,109,291 147,327,874 73,663,937 220,991,812 110,495,906 55,247,953 165,743,860 82,871,930 41,435,965 124,307,896 62,153,948 31,076,974 15,538,487 46,615,462 23,307,731 69,923,194 34,961,597 104,884,792 52,442,396 26,221,198 13,110,599 39,331,798 19,665,899 58,997,698 29,498,849 88,496,548 44,248,274 22,124,137 66,372,412 33,186,206 16,593,103 49,779,310 24,889,655 74,668,966 37,334,483 112,003,450 56,001,725 168,005,176 84,002,588 42,001,294 21,000,647 63,001,942 31,500,971 94,502,914 47,251,457 141,754,372 70,877,186 35,438,593 106,315,780 53,157,890

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