2,429,728

2⁵ × 7 × 10847

2,429,728 has digital root 7. The neighboring primes are 2429723 and 2429729; its proper-divisor sum differs from the starting integer by 607,936.

Prime Factor Structure

Factorization String 2^5 × 7 × 10847

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,467,392

Proper Divisor Sum 3,037,664

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2429723 ← → #2429729

Radix Representation

Decimal	2429728
Binary	1001010001001100100000 (22 bits)
Octal	0o11211440
Hexadecimal	0x251320

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 10,847 21,694 43,388 75,929 86,776 151,858 173,552 303,716 347,104 607,432 1,214,864 2,429,728

Collatz Trajectory (60 steps to reach 1)

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

2,429,728 1,214,864 607,432 303,716 151,858 75,929 227,788 113,894 56,947 170,842 85,421 256,264 128,132 64,066 32,033 96,100 48,050 24,025 72,076 36,038 18,019 54,058 27,029 81,088 40,544 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2

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