42,007,409

127 × 330767

42,007,409 factors as 127 × 330767. Its 4 positive divisors give a proper-divisor sum of 330,895, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 127 × 330767

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 42,338,304

Proper Divisor Sum 330,895

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #42007397 ← → #42007463

Radix Representation

Decimal	42007409
Binary	10100000001111101101110001 (26 bits)
Octal	0o240175561
Hexadecimal	0x280FB71

Divisor Catalog (4)

1 127 330,767 42,007,409

Collatz Trajectory (266 steps to reach 1)

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

42,007,409 126,022,228 63,011,114 31,505,557 94,516,672 47,258,336 23,629,168 11,814,584 5,907,292 2,953,646 1,476,823 4,430,470 2,215,235 6,645,706 3,322,853 9,968,560 4,984,280 2,492,140 1,246,070 623,035 1,869,106 934,553 2,803,660 1,401,830 700,915 2,102,746 1,051,373 3,154,120 1,577,060 788,530 394,265 1,182,796 591,398 295,699 887,098 443,549 1,330,648 665,324 332,662 166,331 498,994 249,497 748,492 374,246 187,123 561,370 280,685 842,056 421,028 210,514 105,257 315,772 157,886 78,943 236,830 118,415 355,246 177,623 532,870 266,435

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