7,725,543

3 × 7 × 367883

Starting at 7,725,543, the Collatz iteration reaches 1 after 248 steps. The first transition is 23176630; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 367883

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,772,288

Proper Divisor Sum 4,046,745

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7725527 ← → #7725559

Radix Representation

Decimal	7725543
Binary	11101011110000111100111 (23 bits)
Octal	0o35360747
Hexadecimal	0x75E1E7

Divisor Catalog (8)

1 3 7 21 367,883 1,103,649 2,575,181 7,725,543

Collatz Trajectory (248 steps to reach 1)

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

7,725,543 23,176,630 11,588,315 34,764,946 17,382,473 52,147,420 26,073,710 13,036,855 39,110,566 19,555,283 58,665,850 29,332,925 87,998,776 43,999,388 21,999,694 10,999,847 32,999,542 16,499,771 49,499,314 24,749,657 74,248,972 37,124,486 18,562,243 55,686,730 27,843,365 83,530,096 41,765,048 20,882,524 10,441,262 5,220,631 15,661,894 7,830,947 23,492,842 11,746,421 35,239,264 17,619,632 8,809,816 4,404,908 2,202,454 1,101,227 3,303,682 1,651,841 4,955,524 2,477,762 1,238,881 3,716,644 1,858,322 929,161 2,787,484 1,393,742 696,871 2,090,614 1,045,307 3,135,922 1,567,961 4,703,884 2,351,942 1,175,971 3,527,914 1,763,957

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