7,037,439

3 × 17² × 8117

Starting at 7,037,439, the Collatz iteration reaches 1 after 434 steps. The first transition is 21112318; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 17^2 × 8117

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,968,904

Proper Divisor Sum 2,931,465

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7037417 ← → #7037453

Radix Representation

Decimal	7037439
Binary	11010110110000111111111 (23 bits)
Octal	0o32660777
Hexadecimal	0x6B61FF

Divisor Catalog (12)

1 3 17 51 289 867 8,117 24,351 137,989 413,967 2,345,813 7,037,439

Collatz Trajectory (434 steps to reach 1)

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

7,037,439 21,112,318 10,556,159 31,668,478 15,834,239 47,502,718 23,751,359 71,254,078 35,627,039 106,881,118 53,440,559 160,321,678 80,160,839 240,482,518 120,241,259 360,723,778 180,361,889 541,085,668 270,542,834 135,271,417 405,814,252 202,907,126 101,453,563 304,360,690 152,180,345 456,541,036 228,270,518 114,135,259 342,405,778 171,202,889 513,608,668 256,804,334 128,402,167 385,206,502 192,603,251 577,809,754 288,904,877 866,714,632 433,357,316 216,678,658 108,339,329 325,017,988 162,508,994 81,254,497 243,763,492 121,881,746 60,940,873 182,822,620 91,411,310 45,705,655 137,116,966 68,558,483 205,675,450 102,837,725 308,513,176 154,256,588 77,128,294 38,564,147 115,692,442 57,846,221

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