7,840,928

2⁵ × 245029

Starting at 7,840,928, the Collatz iteration reaches 1 after 80 steps. The first transition is 3920464; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 245029

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,436,890

Proper Divisor Sum 7,595,962

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7840913 ← → #7840949

Radix Representation

Decimal	7840928
Binary	11101111010010010100000 (23 bits)
Octal	0o35722240
Hexadecimal	0x77A4A0

Divisor Catalog (12)

1 2 4 8 16 32 245,029 490,058 980,116 1,960,232 3,920,464 7,840,928

Collatz Trajectory (80 steps to reach 1)

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

7,840,928 3,920,464 1,960,232 980,116 490,058 245,029 735,088 367,544 183,772 91,886 45,943 137,830 68,915 206,746 103,373 310,120 155,060 77,530 38,765 116,296 58,148 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232

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