7,615,873

41 × 185753

Starting at 7,615,873, the Collatz iteration reaches 1 after 142 steps. The first transition is 22847620; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 41 × 185753

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,801,668

Proper Divisor Sum 185,795

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7615807 ← → #7615877

Radix Representation

Decimal	7615873
Binary	11101000011010110000001 (23 bits)
Octal	0o35032601
Hexadecimal	0x743581

Divisor Catalog (4)

1 41 185,753 7,615,873

Collatz Trajectory (142 steps to reach 1)

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

7,615,873 22,847,620 11,423,810 5,711,905 17,135,716 8,567,858 4,283,929 12,851,788 6,425,894 3,212,947 9,638,842 4,819,421 14,458,264 7,229,132 3,614,566 1,807,283 5,421,850 2,710,925 8,132,776 4,066,388 2,033,194 1,016,597 3,049,792 1,524,896 762,448 381,224 190,612 95,306 47,653 142,960 71,480 35,740 17,870 8,935 26,806 13,403 40,210 20,105 60,316 30,158 15,079 45,238 22,619 67,858 33,929 101,788 50,894 25,447 76,342 38,171 114,514 57,257 171,772 85,886 42,943 128,830 64,415 193,246 96,623 289,870

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