10,407,454

2 × 23 × 61 × 3709

10,407,454 factors as 2 × 23 × 61 × 3709. Its 16 positive divisors give a proper-divisor sum of 6,153,986, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 23 × 61 × 3709

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,561,440

Proper Divisor Sum 6,153,986

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #10407443 ← → #10407457

Radix Representation

Decimal	10407454
Binary	100111101100111000011110 (24 bits)
Octal	0o47547036
Hexadecimal	0x9ECE1E

Divisor Catalog (16)

1 2 23 46 61 122 1,403 2,806 3,709 7,418 85,307 170,614 226,249 452,498 5,203,727 10,407,454

Collatz Trajectory (132 steps to reach 1)

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

10,407,454 5,203,727 15,611,182 7,805,591 23,416,774 11,708,387 35,125,162 17,562,581 52,687,744 26,343,872 13,171,936 6,585,968 3,292,984 1,646,492 823,246 411,623 1,234,870 617,435 1,852,306 926,153 2,778,460 1,389,230 694,615 2,083,846 1,041,923 3,125,770 1,562,885 4,688,656 2,344,328 1,172,164 586,082 293,041 879,124 439,562 219,781 659,344 329,672 164,836 82,418 41,209 123,628 61,814 30,907 92,722 46,361 139,084 69,542 34,771 104,314 52,157 156,472 78,236 39,118 19,559 58,678 29,339 88,018 44,009 132,028 66,014

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