7,033,792

2⁶ × 109903

Starting at 7,033,792, the Collatz iteration reaches 1 after 103 steps. The first transition is 3516896; the starting value is even with 14 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 109903

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 13,957,808

Proper Divisor Sum 6,924,016

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7033787 ← → #7033799

Radix Representation

Decimal	7033792
Binary	11010110101001111000000 (23 bits)
Octal	0o32651700
Hexadecimal	0x6B53C0

Divisor Catalog (14)

1 2 4 8 16 32 64 109,903 219,806 439,612 879,224 1,758,448 3,516,896 7,033,792

Collatz Trajectory (103 steps to reach 1)

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

7,033,792 3,516,896 1,758,448 879,224 439,612 219,806 109,903 329,710 164,855 494,566 247,283 741,850 370,925 1,112,776 556,388 278,194 139,097 417,292 208,646 104,323 312,970 156,485 469,456 234,728 117,364 58,682 29,341 88,024 44,012 22,006 11,003 33,010 16,505 49,516 24,758 12,379 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621

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