7,437,605

5 × 7 × 41 × 71 × 73

Starting at 7,437,605, the Collatz iteration reaches 1 after 142 steps. The first transition is 22312816; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 41 × 71 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,741,248

Proper Divisor Sum 3,303,643

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7437589 ← → #7437611

Radix Representation

Decimal	7437605
Binary	11100010111110100100101 (23 bits)
Octal	0o34276445
Hexadecimal	0x717D25

Divisor Catalog (32)

1 5 7 35 41 71 73 205 287 355 365 497 511 1,435 2,485 2,555 2,911 2,993 5,183 14,555 14,965 20,377 20,951 25,915 36,281 101,885 104,755 181,405 212,503 1,062,515 1,487,521 7,437,605

Collatz Trajectory (142 steps to reach 1)

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

7,437,605 22,312,816 11,156,408 5,578,204 2,789,102 1,394,551 4,183,654 2,091,827 6,275,482 3,137,741 9,413,224 4,706,612 2,353,306 1,176,653 3,529,960 1,764,980 882,490 441,245 1,323,736 661,868 330,934 165,467 496,402 248,201 744,604 372,302 186,151 558,454 279,227 837,682 418,841 1,256,524 628,262 314,131 942,394 471,197 1,413,592 706,796 353,398 176,699 530,098 265,049 795,148 397,574 198,787 596,362 298,181 894,544 447,272 223,636 111,818 55,909 167,728 83,864 41,932 20,966 10,483 31,450 15,725 47,176

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