3,506,762

2 × 7 × 463 × 541

3,506,762 factors as 2 × 7 × 463 × 541. Its 16 positive divisors give a proper-divisor sum of 2,528,950, so this integer is deficient. The Collatz stopping time is 296 steps.

Prime Factor Structure

Factorization String 2 × 7 × 463 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,035,712

Proper Divisor Sum 2,528,950

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3506753 ← → #3506801

Radix Representation

Decimal	3506762
Binary	1101011000001001001010 (22 bits)
Octal	0o15301112
Hexadecimal	0x35824A

Divisor Catalog (16)

1 2 7 14 463 541 926 1,082 3,241 3,787 6,482 7,574 250,483 500,966 1,753,381 3,506,762

Collatz Trajectory (296 steps to reach 1)

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

3,506,762 1,753,381 5,260,144 2,630,072 1,315,036 657,518 328,759 986,278 493,139 1,479,418 739,709 2,219,128 1,109,564 554,782 277,391 832,174 416,087 1,248,262 624,131 1,872,394 936,197 2,808,592 1,404,296 702,148 351,074 175,537 526,612 263,306 131,653 394,960 197,480 98,740 49,370 24,685 74,056 37,028 18,514 9,257 27,772 13,886 6,943 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247

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