1,472,765

5 × 7 × 29 × 1451

1,472,765 factors as 5 × 7 × 29 × 1451. Its 16 positive divisors give a proper-divisor sum of 618,115, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 5 × 7 × 29 × 1451

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,090,880

Proper Divisor Sum 618,115

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1472743 ← → #1472767

Radix Representation

Decimal	1472765
Binary	101100111100011111101 (21 bits)
Octal	0o5474375
Hexadecimal	0x1678FD

Divisor Catalog (16)

1 5 7 29 35 145 203 1,015 1,451 7,255 10,157 42,079 50,785 210,395 294,553 1,472,765

Collatz Trajectory (150 steps to reach 1)

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

1,472,765 4,418,296 2,209,148 1,104,574 552,287 1,656,862 828,431 2,485,294 1,242,647 3,727,942 1,863,971 5,591,914 2,795,957 8,387,872 4,193,936 2,096,968 1,048,484 524,242 262,121 786,364 393,182 196,591 589,774 294,887 884,662 442,331 1,326,994 663,497 1,990,492 995,246 497,623 1,492,870 746,435 2,239,306 1,119,653 3,358,960 1,679,480 839,740 419,870 209,935 629,806 314,903 944,710 472,355 1,417,066 708,533 2,125,600 1,062,800 531,400 265,700 132,850 66,425 199,276 99,638 49,819 149,458 74,729 224,188 112,094 56,047

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