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Atlas › Integer Profiles › Node 3,487,904

3,487,904

25 × 7 × 23 × 677
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 23 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,201,088
Proper Divisor Sum 4,713,184
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3487871 ← → #3487921

Radix Representation

Decimal 3487904
Binary 1101010011100010100000 (22 bits)
Octal 0o15234240
Hexadecimal 0x3538A0

Divisor Catalog (48)

1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 677 736 1,288 1,354 2,576 2,708 4,739 5,152 5,416 9,478 10,832 15,571 18,956 21,664 31,142 37,912 62,284 75,824 108,997 124,568 151,648 217,994 249,136 435,988 498,272 871,976 1,743,952 3,487,904

Collatz Trajectory (71 steps to reach 1)

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

3,487,904 1,743,952 871,976 435,988 217,994 108,997 326,992 163,496 81,748 40,874 20,437 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106

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