1,525,628

2² × 13 × 29339

1,525,628 is even and not a perfect square. Its factorization is 2^2 × 13 × 29339 and its 12 divisors sum to 2,875,320.

Prime Factor Structure

Factorization String 2^2 × 13 × 29339

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,875,320

Proper Divisor Sum 1,349,692

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1525609 ← → #1525633

Radix Representation

Decimal	1525628
Binary	101110100011101111100 (21 bits)
Octal	0o5643574
Hexadecimal	0x17477C

Divisor Catalog (12)

1 2 4 13 26 52 29,339 58,678 117,356 381,407 762,814 1,525,628

Collatz Trajectory (256 steps to reach 1)

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

1,525,628 762,814 381,407 1,144,222 572,111 1,716,334 858,167 2,574,502 1,287,251 3,861,754 1,930,877 5,792,632 2,896,316 1,448,158 724,079 2,172,238 1,086,119 3,258,358 1,629,179 4,887,538 2,443,769 7,331,308 3,665,654 1,832,827 5,498,482 2,749,241 8,247,724 4,123,862 2,061,931 6,185,794 3,092,897 9,278,692 4,639,346 2,319,673 6,959,020 3,479,510 1,739,755 5,219,266 2,609,633 7,828,900 3,914,450 1,957,225 5,871,676 2,935,838 1,467,919 4,403,758 2,201,879 6,605,638 3,302,819 9,908,458 4,954,229 14,862,688 7,431,344 3,715,672 1,857,836 928,918 464,459 1,393,378 696,689 2,090,068

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