1,267,472

2⁴ × 37 × 2141

For 1,267,472, the 20 positive divisors have a total of 2,523,276. Removing 1,267,472 leaves 1,255,804, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 37 × 2141

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 2,523,276

Proper Divisor Sum 1,255,804

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1267463 ← → #1267481

Radix Representation

Decimal	1267472
Binary	100110101011100010000 (21 bits)
Octal	0o4653420
Hexadecimal	0x135710

Divisor Catalog (20)

1 2 4 8 16 37 74 148 296 592 2,141 4,282 8,564 17,128 34,256 79,217 158,434 316,868 633,736 1,267,472

Collatz Trajectory (80 steps to reach 1)

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

1,267,472 633,736 316,868 158,434 79,217 237,652 118,826 59,413 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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