8,742,405

3 × 5 × 7 × 139 × 599

8,742,405 has digital root 3. The neighboring primes are 8742401 and 8742421; its proper-divisor sum differs from the starting integer by -1,356,810.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 139 × 599

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,128,000

Proper Divisor Sum 7,385,595

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8742401 ← → #8742421

Radix Representation

Decimal	8742405
Binary	100001010110011000000101 (24 bits)
Octal	0o41263005
Hexadecimal	0x856605

Divisor Catalog (32)

1 3 5 7 15 21 35 105 139 417 599 695 973 1,797 2,085 2,919 2,995 4,193 4,865 8,985 12,579 14,595 20,965 62,895 83,261 249,783 416,305 582,827 1,248,915 1,748,481 2,914,135 8,742,405

Collatz Trajectory (287 steps to reach 1)

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

8,742,405 26,227,216 13,113,608 6,556,804 3,278,402 1,639,201 4,917,604 2,458,802 1,229,401 3,688,204 1,844,102 922,051 2,766,154 1,383,077 4,149,232 2,074,616 1,037,308 518,654 259,327 777,982 388,991 1,166,974 583,487 1,750,462 875,231 2,625,694 1,312,847 3,938,542 1,969,271 5,907,814 2,953,907 8,861,722 4,430,861 13,292,584 6,646,292 3,323,146 1,661,573 4,984,720 2,492,360 1,246,180 623,090 311,545 934,636 467,318 233,659 700,978 350,489 1,051,468 525,734 262,867 788,602 394,301 1,182,904 591,452 295,726 147,863 443,590 221,795 665,386 332,693

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