7,212,945

3 × 5 × 61 × 7883

7,212,945 factors as 3 × 5 × 61 × 7883. Its 16 positive divisors give a proper-divisor sum of 4,518,447, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3 × 5 × 61 × 7883

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 11,731,392

Proper Divisor Sum 4,518,447

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7212943 ← → #7212971

Radix Representation

Decimal	7212945
Binary	11011100000111110010001 (23 bits)
Octal	0o33407621
Hexadecimal	0x6E0F91

Divisor Catalog (16)

1 3 5 15 61 183 305 915 7,883 23,649 39,415 118,245 480,863 1,442,589 2,404,315 7,212,945

Collatz Trajectory (142 steps to reach 1)

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

7,212,945 21,638,836 10,819,418 5,409,709 16,229,128 8,114,564 4,057,282 2,028,641 6,085,924 3,042,962 1,521,481 4,564,444 2,282,222 1,141,111 3,423,334 1,711,667 5,135,002 2,567,501 7,702,504 3,851,252 1,925,626 962,813 2,888,440 1,444,220 722,110 361,055 1,083,166 541,583 1,624,750 812,375 2,437,126 1,218,563 3,655,690 1,827,845 5,483,536 2,741,768 1,370,884 685,442 342,721 1,028,164 514,082 257,041 771,124 385,562 192,781 578,344 289,172 144,586 72,293 216,880 108,440 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625

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