3,929,248

2⁵ × 122789

3,929,248 factors as 2^5 × 122789. Its 12 positive divisors give a proper-divisor sum of 3,806,522, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^5 × 122789

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,735,770

Proper Divisor Sum 3,806,522

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3929221 ← → #3929249

Radix Representation

Decimal	3929248
Binary	1110111111010010100000 (22 bits)
Octal	0o16772240
Hexadecimal	0x3BF4A0

Divisor Catalog (12)

1 2 4 8 16 32 122,789 245,578 491,156 982,312 1,964,624 3,929,248

Collatz Trajectory (123 steps to reach 1)

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

3,929,248 1,964,624 982,312 491,156 245,578 122,789 368,368 184,184 92,092 46,046 23,023 69,070 34,535 103,606 51,803 155,410 77,705 233,116 116,558 58,279 174,838 87,419 262,258 131,129 393,388 196,694 98,347 295,042 147,521 442,564 221,282 110,641 331,924 165,962 82,981 248,944 124,472 62,236 31,118 15,559 46,678 23,339 70,018 35,009 105,028 52,514 26,257 78,772 39,386 19,693 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928

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