7,810,849

577 × 13537

Starting at 7,810,849, the Collatz iteration reaches 1 after 186 steps. The first transition is 23432548; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 577 × 13537

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,824,964

Proper Divisor Sum 14,115

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7810841 ← → #7810877

Radix Representation

Decimal	7810849
Binary	11101110010111100100001 (23 bits)
Octal	0o35627441
Hexadecimal	0x772F21

Divisor Catalog (4)

1 577 13,537 7,810,849

Collatz Trajectory (186 steps to reach 1)

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

7,810,849 23,432,548 11,716,274 5,858,137 17,574,412 8,787,206 4,393,603 13,180,810 6,590,405 19,771,216 9,885,608 4,942,804 2,471,402 1,235,701 3,707,104 1,853,552 926,776 463,388 231,694 115,847 347,542 173,771 521,314 260,657 781,972 390,986 195,493 586,480 293,240 146,620 73,310 36,655 109,966 54,983 164,950 82,475 247,426 123,713 371,140 185,570 92,785 278,356 139,178 69,589 208,768 104,384 52,192 26,096 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261

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