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Atlas › Integer Profiles › Node 2,454,504

2,454,504

23 × 3 × 13 × 7867
Abundant Even Composite

2,454,504 factors as 2^3 × 3 × 13 × 7867. Its 32 positive divisors give a proper-divisor sum of 4,154,616, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 7867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,609,120
Proper Divisor Sum 4,154,616
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2454503 ← → #2454523

Radix Representation

Decimal 2454504
Binary 1001010111001111101000 (22 bits)
Octal 0o11271750
Hexadecimal 0x2573E8

Divisor Catalog (32)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 7,867 15,734 23,601 31,468 47,202 62,936 94,404 102,271 188,808 204,542 306,813 409,084 613,626 818,168 1,227,252 2,454,504

Collatz Trajectory (205 steps to reach 1)

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

2,454,504 1,227,252 613,626 306,813 920,440 460,220 230,110 115,055 345,166 172,583 517,750 258,875 776,626 388,313 1,164,940 582,470 291,235 873,706 436,853 1,310,560 655,280 327,640 163,820 81,910 40,955 122,866 61,433 184,300 92,150 46,075 138,226 69,113 207,340 103,670 51,835 155,506 77,753 233,260 116,630 58,315 174,946 87,473 262,420 131,210 65,605 196,816 98,408 49,204 24,602 12,301 36,904 18,452 9,226 4,613 13,840 6,920 3,460 1,730 865 2,596

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