λ
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1,507,485

3 × 5 × 73 × 293
Deficient Odd Composite

1,507,485 factors as 3 × 5 × 7^3 × 293. Its 32 positive divisors give a proper-divisor sum of 1,314,915, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,822,400
Proper Divisor Sum 1,314,915
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1507483 ← → #1507487

Radix Representation

Decimal 1507485
Binary 101110000000010011101 (21 bits)
Octal 0o5600235
Hexadecimal 0x17009D

Divisor Catalog (32)

1 3 5 7 15 21 35 49 105 147 245 293 343 735 879 1,029 1,465 1,715 2,051 4,395 5,145 6,153 10,255 14,357 30,765 43,071 71,785 100,499 215,355 301,497 502,495 1,507,485

Collatz Trajectory (62 steps to reach 1)

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

1,507,485 4,522,456 2,261,228 1,130,614 565,307 1,695,922 847,961 2,543,884 1,271,942 635,971 1,907,914 953,957 2,861,872 1,430,936 715,468 357,734 178,867 536,602 268,301 804,904 402,452 201,226 100,613 301,840 150,920 75,460 37,730 18,865 56,596 28,298 14,149 42,448 21,224 10,612 5,306 2,653 7,960 3,980 1,990 995 2,986 1,493 4,480 2,240 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8

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