7,418,961

3² × 11 × 137 × 547

Starting at 7,418,961, the Collatz iteration reaches 1 after 142 steps. The first transition is 22256884; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 137 × 547

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,797,344

Proper Divisor Sum 4,378,383

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7418947 ← → #7419007

Radix Representation

Decimal	7418961
Binary	11100010011010001010001 (23 bits)
Octal	0o34232121
Hexadecimal	0x713451

Divisor Catalog (24)

1 3 9 11 33 99 137 411 547 1,233 1,507 1,641 4,521 4,923 6,017 13,563 18,051 54,153 74,939 224,817 674,451 824,329 2,472,987 7,418,961

Collatz Trajectory (142 steps to reach 1)

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

7,418,961 22,256,884 11,128,442 5,564,221 16,692,664 8,346,332 4,173,166 2,086,583 6,259,750 3,129,875 9,389,626 4,694,813 14,084,440 7,042,220 3,521,110 1,760,555 5,281,666 2,640,833 7,922,500 3,961,250 1,980,625 5,941,876 2,970,938 1,485,469 4,456,408 2,228,204 1,114,102 557,051 1,671,154 835,577 2,506,732 1,253,366 626,683 1,880,050 940,025 2,820,076 1,410,038 705,019 2,115,058 1,057,529 3,172,588 1,586,294 793,147 2,379,442 1,189,721 3,569,164 1,784,582 892,291 2,676,874 1,338,437 4,015,312 2,007,656 1,003,828 501,914 250,957 752,872 376,436 188,218 94,109 282,328

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