1,612,128

2⁵ × 3 × 7 × 2399

For 1,612,128, the 48 positive divisors have a total of 4,838,400. Removing 1,612,128 leaves 3,226,272, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 2399

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 4,838,400

Proper Divisor Sum 3,226,272

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1612123 ← → #1612133

Radix Representation

Decimal	1612128
Binary	110001001100101100000 (21 bits)
Octal	0o6114540
Hexadecimal	0x189960

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2,399 4,798 7,197 9,596 14,394 16,793 19,192 28,788 33,586 38,384 50,379 57,576 67,172 76,768 100,758 115,152 134,344 201,516 230,304 268,688 403,032 537,376 806,064 1,612,128

Collatz Trajectory (70 steps to reach 1)

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

1,612,128 806,064 403,032 201,516 100,758 50,379 151,138 75,569 226,708 113,354 56,677 170,032 85,016 42,508 21,254 10,627 31,882 15,941 47,824 23,912 11,956 5,978 2,989 8,968 4,484 2,242 1,121 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52

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