7,840,571

653 × 12007

Starting at 7,840,571, the Collatz iteration reaches 1 after 173 steps. The first transition is 23521714; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 653 × 12007

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,853,232

Proper Divisor Sum 12,661

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7840561 ← → #7840589

Radix Representation

Decimal	7840571
Binary	11101111010001100111011 (23 bits)
Octal	0o35721473
Hexadecimal	0x77A33B

Divisor Catalog (4)

1 653 12,007 7,840,571

Collatz Trajectory (173 steps to reach 1)

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

7,840,571 23,521,714 11,760,857 35,282,572 17,641,286 8,820,643 26,461,930 13,230,965 39,692,896 19,846,448 9,923,224 4,961,612 2,480,806 1,240,403 3,721,210 1,860,605 5,581,816 2,790,908 1,395,454 697,727 2,093,182 1,046,591 3,139,774 1,569,887 4,709,662 2,354,831 7,064,494 3,532,247 10,596,742 5,298,371 15,895,114 7,947,557 23,842,672 11,921,336 5,960,668 2,980,334 1,490,167 4,470,502 2,235,251 6,705,754 3,352,877 10,058,632 5,029,316 2,514,658 1,257,329 3,771,988 1,885,994 942,997 2,828,992 1,414,496 707,248 353,624 176,812 88,406 44,203 132,610 66,305 198,916 99,458 49,729

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