1,501,312

2⁷ × 37 × 317

1,501,312 is even and not a perfect square. Its factorization is 2^7 × 37 × 317 and its 32 divisors sum to 3,081,420.

Prime Factor Structure

Factorization String 2^7 × 37 × 317

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,081,420

Proper Divisor Sum 1,580,108

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #1501307 ← → #1501333

Radix Representation

Decimal	1501312
Binary	101101110100010000000 (21 bits)
Octal	0o5564200
Hexadecimal	0x16E880

Divisor Catalog (32)

1 2 4 8 16 32 37 64 74 128 148 296 317 592 634 1,184 1,268 2,368 2,536 4,736 5,072 10,144 11,729 20,288 23,458 40,576 46,916 93,832 187,664 375,328 750,656 1,501,312

Collatz Trajectory (44 steps to reach 1)

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

1,501,312 750,656 375,328 187,664 93,832 46,916 23,458 11,729 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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