7,725,395

5 × 17 × 90887

Starting at 7,725,395, the Collatz iteration reaches 1 after 248 steps. The first transition is 23176186; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 17 × 90887

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,815,904

Proper Divisor Sum 2,090,509

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7725373 ← → #7725407

Radix Representation

Decimal	7725395
Binary	11101011110000101010011 (23 bits)
Octal	0o35360523
Hexadecimal	0x75E153

Divisor Catalog (8)

1 5 17 85 90,887 454,435 1,545,079 7,725,395

Collatz Trajectory (248 steps to reach 1)

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

7,725,395 23,176,186 11,588,093 34,764,280 17,382,140 8,691,070 4,345,535 13,036,606 6,518,303 19,554,910 9,777,455 29,332,366 14,666,183 43,998,550 21,999,275 65,997,826 32,998,913 98,996,740 49,498,370 24,749,185 74,247,556 37,123,778 18,561,889 55,685,668 27,842,834 13,921,417 41,764,252 20,882,126 10,441,063 31,323,190 15,661,595 46,984,786 23,492,393 70,477,180 35,238,590 17,619,295 52,857,886 26,428,943 79,286,830 39,643,415 118,930,246 59,465,123 178,395,370 89,197,685 267,593,056 133,796,528 66,898,264 33,449,132 16,724,566 8,362,283 25,086,850 12,543,425 37,630,276 18,815,138 9,407,569 28,222,708 14,111,354 7,055,677 21,167,032 10,583,516

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