λ
Match Zalai

4,021,904

24 × 173 × 1453
Deficient Even Composite

4,021,904 factors as 2^4 × 173 × 1453. Its 20 positive divisors give a proper-divisor sum of 3,820,972, so this integer is deficient. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^4 × 173 × 1453
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 7,842,876
Proper Divisor Sum 3,820,972
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4021903 ← → #4021907

Radix Representation

Decimal 4021904
Binary 1111010101111010010000 (22 bits)
Octal 0o17257220
Hexadecimal 0x3D5E90

Divisor Catalog (20)

1 2 4 8 16 173 346 692 1,384 1,453 2,768 2,906 5,812 11,624 23,248 251,369 502,738 1,005,476 2,010,952 4,021,904

Collatz Trajectory (141 steps to reach 1)

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

4,021,904 2,010,952 1,005,476 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634 715,817 2,147,452 1,073,726 536,863 1,610,590 805,295 2,415,886 1,207,943 3,623,830 1,811,915 5,435,746 2,717,873 8,153,620 4,076,810 2,038,405 6,115,216 3,057,608 1,528,804 764,402 382,201 1,146,604 573,302 286,651 859,954 429,977 1,289,932 644,966 322,483 967,450 483,725 1,451,176 725,588 362,794 181,397 544,192 272,096 136,048 68,024 34,012 17,006 8,503 25,510

More profiles

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