7,737,779

7 × 1105397

Starting at 7,737,779, the Collatz iteration reaches 1 after 186 steps. The first transition is 23213338; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1105397

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,843,184

Proper Divisor Sum 1,105,405

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #7737767 ← → #7737803

Radix Representation

Decimal	7737779
Binary	11101100001000110110011 (23 bits)
Octal	0o35410663
Hexadecimal	0x7611B3

Divisor Catalog (4)

1 7 1,105,397 7,737,779

Collatz Trajectory (186 steps to reach 1)

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

7,737,779 23,213,338 11,606,669 34,820,008 17,410,004 8,705,002 4,352,501 13,057,504 6,528,752 3,264,376 1,632,188 816,094 408,047 1,224,142 612,071 1,836,214 918,107 2,754,322 1,377,161 4,131,484 2,065,742 1,032,871 3,098,614 1,549,307 4,647,922 2,323,961 6,971,884 3,485,942 1,742,971 5,228,914 2,614,457 7,843,372 3,921,686 1,960,843 5,882,530 2,941,265 8,823,796 4,411,898 2,205,949 6,617,848 3,308,924 1,654,462 827,231 2,481,694 1,240,847 3,722,542 1,861,271 5,583,814 2,791,907 8,375,722 4,187,861 12,563,584 6,281,792 3,140,896 1,570,448 785,224 392,612 196,306 98,153 294,460

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