1,504,792

2³ × 79 × 2381

1,504,792 factors as 2^3 × 79 × 2381. Its 16 positive divisors give a proper-divisor sum of 1,353,608, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^3 × 79 × 2381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,858,400

Proper Divisor Sum 1,353,608

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #1504777 ← → #1504793

Radix Representation

Decimal	1504792
Binary	101101111011000011000 (21 bits)
Octal	0o5573030
Hexadecimal	0x16F618

Divisor Catalog (16)

1 2 4 8 79 158 316 632 2,381 4,762 9,524 19,048 188,099 376,198 752,396 1,504,792

Collatz Trajectory (137 steps to reach 1)

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

1,504,792 752,396 376,198 188,099 564,298 282,149 846,448 423,224 211,612 105,806 52,903 158,710 79,355 238,066 119,033 357,100 178,550 89,275 267,826 133,913 401,740 200,870 100,435 301,306 150,653 451,960 225,980 112,990 56,495 169,486 84,743 254,230 127,115 381,346 190,673 572,020 286,010 143,005 429,016 214,508 107,254 53,627 160,882 80,441 241,324 120,662 60,331 180,994 90,497 271,492 135,746 67,873 203,620 101,810 50,905 152,716 76,358 38,179 114,538 57,269

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