2,797,024

2⁵ × 87407

2,797,024 factors as 2^5 × 87407. Its 12 positive divisors give a proper-divisor sum of 2,709,680, so this integer is deficient. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^5 × 87407

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,506,704

Proper Divisor Sum 2,709,680

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2797019 ← → #2797031

Radix Representation

Decimal	2797024
Binary	1010101010110111100000 (22 bits)
Octal	0o12526740
Hexadecimal	0x2AADE0

Divisor Catalog (12)

1 2 4 8 16 32 87,407 174,814 349,628 699,256 1,398,512 2,797,024

Collatz Trajectory (231 steps to reach 1)

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

2,797,024 1,398,512 699,256 349,628 174,814 87,407 262,222 131,111 393,334 196,667 590,002 295,001 885,004 442,502 221,251 663,754 331,877 995,632 497,816 248,908 124,454 62,227 186,682 93,341 280,024 140,012 70,006 35,003 105,010 52,505 157,516 78,758 39,379 118,138 59,069 177,208 88,604 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746

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