21,363,976

2³ × 167 × 15991

21,363,976 factors as 2^3 × 167 × 15991. Its 16 positive divisors give a proper-divisor sum of 18,935,864, so this integer is deficient. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^3 × 167 × 15991

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 40,299,840

Proper Divisor Sum 18,935,864

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #21363949 ← → #21363977

Radix Representation

Decimal	21363976
Binary	1010001011111110100001000 (25 bits)
Octal	0o121376410
Hexadecimal	0x145FD08

Divisor Catalog (16)

1 2 4 8 167 334 668 1,336 15,991 31,982 63,964 127,928 2,670,497 5,340,994 10,681,988 21,363,976

Collatz Trajectory (146 steps to reach 1)

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

21,363,976 10,681,988 5,340,994 2,670,497 8,011,492 4,005,746 2,002,873 6,008,620 3,004,310 1,502,155 4,506,466 2,253,233 6,759,700 3,379,850 1,689,925 5,069,776 2,534,888 1,267,444 633,722 316,861 950,584 475,292 237,646 118,823 356,470 178,235 534,706 267,353 802,060 401,030 200,515 601,546 300,773 902,320 451,160 225,580 112,790 56,395 169,186 84,593 253,780 126,890 63,445 190,336 95,168 47,584 23,792 11,896 5,948 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766

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