λ
Prime Ledger

3,772,978

2 × 11 × 149 × 1151
Deficient Even Composite

3,772,978 has the prime decomposition 2 × 11 × 149 × 1151. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 149 × 1151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,220,800
Proper Divisor Sum 2,447,822
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3772919 ← → #3772981

Radix Representation

Decimal 3772978
Binary 1110011001001000110010 (22 bits)
Octal 0o16311062
Hexadecimal 0x399232

Divisor Catalog (16)

1 2 11 22 149 298 1,151 1,639 2,302 3,278 12,661 25,322 171,499 342,998 1,886,489 3,772,978

Collatz Trajectory (115 steps to reach 1)

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

3,772,978 1,886,489 5,659,468 2,829,734 1,414,867 4,244,602 2,122,301 6,366,904 3,183,452 1,591,726 795,863 2,387,590 1,193,795 3,581,386 1,790,693 5,372,080 2,686,040 1,343,020 671,510 335,755 1,007,266 503,633 1,510,900 755,450 377,725 1,133,176 566,588 283,294 141,647 424,942 212,471 637,414 318,707 956,122 478,061 1,434,184 717,092 358,546 179,273 537,820 268,910 134,455 403,366 201,683 605,050 302,525 907,576 453,788 226,894 113,447 340,342 170,171 510,514 255,257 765,772 382,886 191,443 574,330 287,165 861,496

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