1,448,640

2⁶ × 3² × 5 × 503

1,448,640 has digital root 9. The neighboring primes are 1448611 and 1448659; its proper-divisor sum differs from the starting integer by 2,095,344.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5 × 503

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 4,992,624

Proper Divisor Sum 3,543,984

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1448611 ← → #1448659

Radix Representation

Decimal	1448640
Binary	101100001101011000000 (21 bits)
Octal	0o5415300
Hexadecimal	0x161AC0

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 503 576 720 960 1,006 1,440 1,509 2,012 2,515 2,880 3,018 4,024 4,527 5,030 6,036 7,545 8,048 9,054 10,060 12,072 15,090 16,096 18,108

Collatz Trajectory (150 steps to reach 1)

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

1,448,640 724,320 362,160 181,080 90,540 45,270 22,635 67,906 33,953 101,860 50,930 25,465 76,396 38,198 19,099 57,298 28,649 85,948 42,974 21,487 64,462 32,231 96,694 48,347 145,042 72,521 217,564 108,782 54,391 163,174 81,587 244,762 122,381 367,144 183,572 91,786 45,893 137,680 68,840 34,420 17,210 8,605 25,816 12,908 6,454 3,227 9,682 4,841 14,524 7,262 3,631 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193

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