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Atlas › Integer Profiles › Node 3,384,992

3,384,992

25 × 13 × 79 × 103
Abundant Even Composite

3,384,992 factors as 2^5 × 13 × 79 × 103. Its 48 positive divisors give a proper-divisor sum of 3,953,248, so this integer is abundant. The Collatz stopping time is 58 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 79 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,338,240
Proper Divisor Sum 3,953,248
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3384991 ← → #3385013

Radix Representation

Decimal 3384992
Binary 1100111010011010100000 (22 bits)
Octal 0o14723240
Hexadecimal 0x33A6A0

Divisor Catalog (48)

1 2 4 8 13 16 26 32 52 79 103 104 158 206 208 316 412 416 632 824 1,027 1,264 1,339 1,648 2,054 2,528 2,678 3,296 4,108 5,356 8,137 8,216 10,712 16,274 16,432 21,424 32,548 32,864 42,848 65,096 105,781 130,192 211,562 260,384 423,124 846,248 1,692,496 3,384,992

Collatz Trajectory (58 steps to reach 1)

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

3,384,992 1,692,496 846,248 423,124 211,562 105,781 317,344 158,672 79,336 39,668 19,834 9,917 29,752 14,876 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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