7,730,238

2 × 3 × 761 × 1693

Starting at 7,730,238, the Collatz iteration reaches 1 after 124 steps. The first transition is 3865119; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 761 × 1693

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,489,936

Proper Divisor Sum 7,759,698

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7730213 ← → #7730243

Radix Representation

Decimal	7730238
Binary	11101011111010000111110 (23 bits)
Octal	0o35372076
Hexadecimal	0x75F43E

Divisor Catalog (16)

1 2 3 6 761 1,522 1,693 2,283 3,386 4,566 5,079 10,158 1,288,373 2,576,746 3,865,119 7,730,238

Collatz Trajectory (124 steps to reach 1)

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

7,730,238 3,865,119 11,595,358 5,797,679 17,393,038 8,696,519 26,089,558 13,044,779 39,134,338 19,567,169 58,701,508 29,350,754 14,675,377 44,026,132 22,013,066 11,006,533 33,019,600 16,509,800 8,254,900 4,127,450 2,063,725 6,191,176 3,095,588 1,547,794 773,897 2,321,692 1,160,846 580,423 1,741,270 870,635 2,611,906 1,305,953 3,917,860 1,958,930 979,465 2,938,396 1,469,198 734,599 2,203,798 1,101,899 3,305,698 1,652,849 4,958,548 2,479,274 1,239,637 3,718,912 1,859,456 929,728 464,864 232,432 116,216 58,108 29,054 14,527 43,582 21,791 65,374 32,687 98,062 49,031

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