2,449,768

2³ × 17 × 18013

For 2,449,768, the 16 positive divisors have a total of 4,863,780. Removing 2,449,768 leaves 2,414,012, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 17 × 18013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,863,780

Proper Divisor Sum 2,414,012

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #2449757 ← → #2449787

Radix Representation

Decimal	2449768
Binary	1001010110000101101000 (22 bits)
Octal	0o11260550
Hexadecimal	0x256168

Divisor Catalog (16)

1 2 4 8 17 34 68 136 18,013 36,026 72,052 144,104 306,221 612,442 1,224,884 2,449,768

Collatz Trajectory (117 steps to reach 1)

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

2,449,768 1,224,884 612,442 306,221 918,664 459,332 229,666 114,833 344,500 172,250 86,125 258,376 129,188 64,594 32,297 96,892 48,446 24,223 72,670 36,335 109,006 54,503 163,510 81,755 245,266 122,633 367,900 183,950 91,975 275,926 137,963 413,890 206,945 620,836 310,418 155,209 465,628 232,814 116,407 349,222 174,611 523,834 261,917 785,752 392,876 196,438 98,219 294,658 147,329 441,988 220,994 110,497 331,492 165,746 82,873 248,620 124,310 62,155 186,466 93,233

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