λ
Prime Ledger

6,250,840

23 × 5 × 31 × 712
Abundant Even Composite

6,250,840 has the prime decomposition 2^3 × 5 × 31 × 71^2. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 71^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,725,440
Proper Divisor Sum 8,474,600
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6250837 ← → #6250843

Radix Representation

Decimal 6250840
Binary 10111110110000101011000 (23 bits)
Octal 0o27660530
Hexadecimal 0x5F6158

Divisor Catalog (48)

1 2 4 5 8 10 20 31 40 62 71 124 142 155 248 284 310 355 568 620 710 1,240 1,420 2,201 2,840 4,402 5,041 8,804 10,082 11,005 17,608 20,164 22,010 25,205 40,328 44,020 50,410 88,040 100,820 156,271 201,640 312,542 625,084 781,355 1,250,168 1,562,710 3,125,420 6,250,840

Collatz Trajectory (77 steps to reach 1)

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

6,250,840 3,125,420 1,562,710 781,355 2,344,066 1,172,033 3,516,100 1,758,050 879,025 2,637,076 1,318,538 659,269 1,977,808 988,904 494,452 247,226 123,613 370,840 185,420 92,710 46,355 139,066 69,533 208,600 104,300 52,150 26,075 78,226 39,113 117,340 58,670 29,335 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184

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