7,845,348

2² × 3 × 7 × 59 × 1583

Starting at 7,845,348, the Collatz iteration reaches 1 after 279 steps. The first transition is 3922674; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 59 × 1583

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,288,960

Proper Divisor Sum 13,443,612

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7845329 ← → #7845349

Radix Representation

Decimal	7845348
Binary	11101111011010111100100 (23 bits)
Octal	0o35732744
Hexadecimal	0x77B5E4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1,239 1,583 1,652 2,478 3,166 4,749 4,956 6,332 9,498 11,081 18,996 22,162 33,243 44,324 66,486 93,397 132,972 186,794 280,191 373,588 560,382 653,779 1,120,764 1,307,558 1,961,337 2,615,116 3,922,674 7,845,348

Collatz Trajectory (279 steps to reach 1)

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

7,845,348 3,922,674 1,961,337 5,884,012 2,942,006 1,471,003 4,413,010 2,206,505 6,619,516 3,309,758 1,654,879 4,964,638 2,482,319 7,446,958 3,723,479 11,170,438 5,585,219 16,755,658 8,377,829 25,133,488 12,566,744 6,283,372 3,141,686 1,570,843 4,712,530 2,356,265 7,068,796 3,534,398 1,767,199 5,301,598 2,650,799 7,952,398 3,976,199 11,928,598 5,964,299 17,892,898 8,946,449 26,839,348 13,419,674 6,709,837 20,129,512 10,064,756 5,032,378 2,516,189 7,548,568 3,774,284 1,887,142 943,571 2,830,714 1,415,357 4,246,072 2,123,036 1,061,518 530,759 1,592,278 796,139 2,388,418 1,194,209 3,582,628 1,791,314

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