7,538,509

11 × 685319

Starting at 7,538,509, the Collatz iteration reaches 1 after 235 steps. The first transition is 22615528; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 685319

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,223,840

Proper Divisor Sum 685,331

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7538501 ← → #7538513

Radix Representation

Decimal	7538509
Binary	11100110000011101001101 (23 bits)
Octal	0o34603515
Hexadecimal	0x73074D

Divisor Catalog (4)

1 11 685,319 7,538,509

Collatz Trajectory (235 steps to reach 1)

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

7,538,509 22,615,528 11,307,764 5,653,882 2,826,941 8,480,824 4,240,412 2,120,206 1,060,103 3,180,310 1,590,155 4,770,466 2,385,233 7,155,700 3,577,850 1,788,925 5,366,776 2,683,388 1,341,694 670,847 2,012,542 1,006,271 3,018,814 1,509,407 4,528,222 2,264,111 6,792,334 3,396,167 10,188,502 5,094,251 15,282,754 7,641,377 22,924,132 11,462,066 5,731,033 17,193,100 8,596,550 4,298,275 12,894,826 6,447,413 19,342,240 9,671,120 4,835,560 2,417,780 1,208,890 604,445 1,813,336 906,668 453,334 226,667 680,002 340,001 1,020,004 510,002 255,001 765,004 382,502 191,251 573,754 286,877

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