7,738,087

7 × 1105441

Starting at 7,738,087, the Collatz iteration reaches 1 after 416 steps. The first transition is 23214262; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1105441

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,843,536

Proper Divisor Sum 1,105,449

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7738067 ← → #7738091

Radix Representation

Decimal	7738087
Binary	11101100001001011100111 (23 bits)
Octal	0o35411347
Hexadecimal	0x7612E7

Divisor Catalog (4)

1 7 1,105,441 7,738,087

Collatz Trajectory (416 steps to reach 1)

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

7,738,087 23,214,262 11,607,131 34,821,394 17,410,697 52,232,092 26,116,046 13,058,023 39,174,070 19,587,035 58,761,106 29,380,553 88,141,660 44,070,830 22,035,415 66,106,246 33,053,123 99,159,370 49,579,685 148,739,056 74,369,528 37,184,764 18,592,382 9,296,191 27,888,574 13,944,287 41,832,862 20,916,431 62,749,294 31,374,647 94,123,942 47,061,971 141,185,914 70,592,957 211,778,872 105,889,436 52,944,718 26,472,359 79,417,078 39,708,539 119,125,618 59,562,809 178,688,428 89,344,214 44,672,107 134,016,322 67,008,161 201,024,484 100,512,242 50,256,121 150,768,364 75,384,182 37,692,091 113,076,274 56,538,137 169,614,412 84,807,206 42,403,603 127,210,810 63,605,405

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