7,833,948

2² × 3 × 31 × 21059

Starting at 7,833,948, the Collatz iteration reaches 1 after 186 steps. The first transition is 3916974; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 21059

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,869,760

Proper Divisor Sum 11,035,812

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7833907 ← → #7833953

Radix Representation

Decimal	7833948
Binary	11101111000100101011100 (23 bits)
Octal	0o35704534
Hexadecimal	0x77895C

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 21,059 42,118 63,177 84,236 126,354 252,708 652,829 1,305,658 1,958,487 2,611,316 3,916,974 7,833,948

Collatz Trajectory (186 steps to reach 1)

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

7,833,948 3,916,974 1,958,487 5,875,462 2,937,731 8,813,194 4,406,597 13,219,792 6,609,896 3,304,948 1,652,474 826,237 2,478,712 1,239,356 619,678 309,839 929,518 464,759 1,394,278 697,139 2,091,418 1,045,709 3,137,128 1,568,564 784,282 392,141 1,176,424 588,212 294,106 147,053 441,160 220,580 110,290 55,145 165,436 82,718 41,359 124,078 62,039 186,118 93,059 279,178 139,589 418,768 209,384 104,692 52,346 26,173 78,520 39,260 19,630 9,815 29,446 14,723 44,170 22,085 66,256 33,128 16,564 8,282

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